# How can you use the prime factorization of a number to determine whether the number is even or odd Show example?

If the prime factorization contains a 2, the number is even. If not, the number is odd.

3 x 5 = 15

2 x 3 x 5 = 30

### How can you use the prime factorization of a number to determine whether the number is even or odd?

If the factorization includes the number 2, it's even. If not, it's odd.

### How can you use the prime factorization to determine whether 35 is a factor of the number?

If the prime factorization contains a 5 and a 7, 35 is a factor.

### How can you use the prime factorization of a number to determine whether the number is even or add?

Very easily: if the prime factorization includes 2, it's even. If not, it's odd.

### How can you determine from the prime factorization whether the least common multiple of two numbers is the product of the number?

If the two numbers have no common prime factors, the LCM will be the product of the numbers.

### How do you write out the prime factorization of a prime number?

The prime number is the prime factorization. For example, the prime factorization of the prime number 3 is 3. Get it?

### How can the prime factorization of a number help you determine if the number is even or odd?

If the number is even, there will be at least one 2 in the prime factorization. If the number is odd, there won't be any twos.

### How do you figure a prime factorization?

what is a prime factorization ok here ill tell you and ill give u an example of prime factorization example:2,3,4.5.7.9.11 mostlyits an odd number but the number 2 is not an odd number buts its prime

### How does the prime factorization of numbers work?

Prime factorization is a common mathematical tool. One uses prime factorization to determine what prime factors of any given number are. One can practice this tool online.

### How do you figure out prime factorization?

To do prime factorization, you need to find the equation that equals up to the number. For example, if the number is 1,125, the prime factoraztion would be 3x3x5x5x5.

### What is a Prime Factorization and What is an example?

A prime factorization is the unique way to list any integer greater than 1 as a product of prime numbers. An example of the prime factorization of a composite number is 20=2*2*5 or 20=2^2*5. The prime factorization of a prime number is itself. e.g. 11=11.

### Prime factorization of a given number?

Prime factorization is factoring a number down to its prime numbers. Example: Prime factorization of 12 : 12 3 x 4 3 x 2 x 2 ^ That is a factor tree which shows the prime factorization

### If your negative number is added to a positive number what should your answer be positive oe negative?

Depend on which is larger, that will determine whether your answer is positive or negative. For example -9 + 3 = -6. Polarity (so to speak) will be the larger value.

### What is prime factorization in math terms?

Prime factorization is the writing of a number as a product of prime numbers. Example: 54=2x3x3x3 or 2x3^3

### How do you determine the prime factors of any number?

In number theory, the prime factors of a positive integer are the prime numbers that divide that integer exactly, without leaving a remainder. The process of finding these numbers is called integer factorization, or prime factorization.

### How do you find the prime factorization of 34?

One way to find the prime factorization of a number is to start with the lowest prime number and see if it evenly divides the number. If it does, check whether the result of the division is divisible by that same prime number. When the prime number you are testing does not evenly divide that number, continue with the next prime number. Continue this until the result of the division is a prime number. Check… Read More

### Explanin How do you determine the prime factorzation of 56?

the prime factorization of 56 is a prime number that are only divisible by twounique factors.

### How can you determine whether the square root of a number is a rational number or an irrational number?

If it can't be expressed as a fraction then it is an irrational number

### How do you determine all factors Prime factorization?

A prime number has only 2 factors which are itself and one whereas a composite number has more than two factors.

### Is a higher number going to have a bigger prime factorization?

yes, for example x2/f56.75 =5.34534

### How do you determine a rational or irrational number?

It isn't always possible to determine. For example, it is unknown whether the Euler-Mascheroni constant (0.5772156649...) is rational or irrational. Most famous numbers and constants are known to be rational or irrational. If it can be expressed as a fraction a/b where a and b are integers, it's rational.

### How do you find the 12th prime number using c?

To keep it simple: Write a main loop that goes through all the numbers, starting with 2, and incrementing one at a time. Determine whether each number is a prime number. If it is, increment a counter. To determine whether each number is a prime number, either use an inner loop, or a separate function. Test divisibility of the number "n" by every number from 2 to n-1. If you find a factor, then it… Read More

### How can you test t determine whether a number is a factor of a number?

it's simple, you divide the potential factor by the original number. For example, if I wanted to find out if 12 was a factor of 36; 36/12= 3 Because this number is an integer and not a decimal we know that in fact, 12 is a factor of 36. I hope that helped :)

### How can you determine whether a counting number is a composite numbers?

If it has more than two factors.

### What makes the factorization of a number a prime factorization?

Prime Factorization A factorization is prime when all the factors are prime numbers (those which only have itself and 1 as factors). For example, 2 X 4 and 2 X 2 X 2 are both factorizations of 8. Only 2 X 2 X 2 is a prime factorization because 2 X 4 includes the composite number 4.

### What is a prime factorization for a number?

Breaking a number down into a multiplication of its prime numbers. For example 20 = 2 x 2 x 5

### What are the factorization of a number?

The factorization of a number is a series of numbers that make that number î„…

### What is the first step in finding the prime factorization?

Notice whether the number is odd or even. If it's even, the first prime factor is 2.

### What is prime factortization?

Prime factorization is the process of determining all of the prime factors of a given number. Prime factors are the prime numbers that when multiplied together give you the number to be factored. For example the prime factorization of 30 is 15 x 2

### How can you test to determine whether a number is a factor of another number?

Divide the larger number by the smaller. If the result has no remainder (no decimal) then the smaller number is a factor of the larger.

### What is th meaning of prime factorization?

Prime factorization is the expression of a given number as the product of its prime factors. Example: 210 2 x 3 x 5 x 7 = 210

### How can you use prime factorization to determine whether a number is even or odd?

It's unclear why anyone would find that necessary. Even numbers end in 0, 2, 4, 6, 8. Odd numbers end in 1, 3, 5, 7, 9. It's more efficient to just look at the numbers.

### How can you test to determine whether a number is a factor of another numberr?

Divide the smaller number into the bigger number. If the answer comes out even with no remainder, it's a factor.

### How can you determine whether one number is a factor of another number?

Divide the smaller into the larger. If the quotient is an integer, the smaller is a factor of the larger.

### How can you determine whether ionization energy is a periodic function of atomic number?

as atomic number increases, ionization energy also decreases

### What is the next number 2 7?

It can be any number. Two numbers do not even determine whether the "sequence" is arithmetic, geometric or other.

### How do you get a prime factorization?

You get a prime factorization by figuring out the factors of the number and then figuring out the factors of those numbers. If the number is prime there is no prime factorization. prime factorization.

### How could you use prime factorization to tell whether a number is even or odd?

its easy to tell that if the last number ends with 0,2,4,6,8,10,12,14,16,18,20 so on and so on then its even if the answer starts with a 1,3,5,7,9,11,13,15,17,19 so on so on then its an odd number

### How do you determine whether a number is divisible by three?

you add the numbers together and if that is divisible by three then so is that number for example: the number 111, you would do 1+1+1=3 so 111 is dividable by 3; or the number 1,620, 1+6+2+0= 9 (which is divisible by 3) so 1,620 is divisible by 3

### How do you determine the factorization of a number?

All composite numbers can be expressed as unique products of prime numbers. This is accomplished by dividing the original number and its factors by prime numbers until all the factors are prime. A factor tree can help you visualize this. Example: 210 210 Divide by two. 105,2 Divide by three. 35,3,2 Divide by five. 7,5,3,2 Stop. All the factors are prime. 2 x 3 x 5 x 7 = 210 That's the prime factorization of… Read More

### What is factorization?

"In mathematics, factorization (also factorisation in British English) or factoring is the decomposition of an object (for example, a number, a polynomial, or a matrix) into a product of other objects, or factors, which when multiplied together give the original." (Wikipedia)

### Is it true that the prime factorization of any composite number includes three or more prime numbers?

no, for example the prime factorization of 4 is,{2,2} it only has two factors and one unique factor 2

### Which mathematician discover number system?

Number systems have been used since pre-historic times. Basic arithmetic probably preceded human beings: for example when a pack of animals would determine whether their numbers were greater than those of their enemies and so decide whether to attack or escape. The modern formal number system is based on definitions by Richard Dedekind in the second half of the nineteenth century.

### What number has 2x2x2x2x3 as its prime factorization?

The only number with that prime factorization has to be 48.

### How does the number of loops in the primary and secondary coils of a transformer determine how the voltage is transformed?

The number of loops in the primary and the secondary coils determine how the voltage is transformed because these loops are used to determine the transformer ratio which in turn determines whether or not the voltage will be stepped up or down.

### How do you determine prime factorization of a number?

All composite numbers can be expressed as unique products of prime numbers. This is accomplished by dividing the original number and its factors by prime numbers until all the factors are prime. A factor tree can help you visualize this. Example: 210 210 Divide by two. 105,2 Divide by three. 35,3,2 Divide by five. 7,5,3,2 Stop. All the factors are prime. 2 x 3 x 5 x 7 = 210 That's the prime factorization of… Read More

### What is the prime factorization for the number 88?

An easy way to find the prime factorization of a number is to find the lowest prime number that is a divisor of that number, and perform a division. By repeating this process, you collect the prime factorization of your original number. For example: 88 is divisible by 2, which is the lowest prime number we can divide it by. 88/2 = 44 44 is divisble by 2 again 44 / 2 = 22 22… Read More

### What is the prime factorization of 31?

Prime Factorization of 31 31 is a prime number, so there is no prime factorization of it. It is 31 because it is a prime number

### What is a prime factorization?

Prime factorization is finding the prime factors you need to multiply together to get the original number. A prime factor is a factor that is a prime number. Example: The prime factorization of 30 is 2 x 3 x 5 Prime factorization is breaking a number into smaller prime divisors which multiply to equal the original number. All composite numbers can be expressed as unique products of prime numbers. This is accomplished by dividing the… Read More

### How can you determine if a number is a prime number?

if it has no other number that can divide into itself but itself ================================== Another contributor clarified: You have to determine whether there is any number ... besides '1' and the number under test itself ... that can divide evenly into the number under test. If you find even one, then it's not a prime. If there are none, then it's a prime.