Math and Arithmetic

Factoring and Multiples

Prime Numbers

Top Answer

1 is not a Prime number, so it wouldn't be present in any prime factorization. Prime numbers don't really have factorizations, that is, the factorization is the number itself. There are prime numbers greater than 100.

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0it is easier to find the prime factorization because you do not have to keep multiplying over and over and over again!!!!

The prime factorization of the number at the top

Prime factorization refers to whole numbers, not fractions. 100/50 = 2, which is already prime and therefore has no prime factorization other than itself.

Fractions don't have prime factorizations, or anyfactorization for that matter.540/600 boils down to 0.9, but the smallest factor of any number is ' 1 '.

89 is a prime number. Prime numbers only have 2 factors. Composite numbers have over 2 factors.

29 is by definition a prime, as it has only two factors: one and itself. This can be easily confirmed by dividing 29 over any other whole number; the result will never be a whole number.29 is a Prime Number29 is prime not compositePrime.

18 over 73, because 73 is a prime number(a number only divisable by 1, and itself.)

18 over 73, because 73 is a prime number(a number only divisable by 1, and itself.)

30/150 = 1/5 as a fraction in its lowest terms

5 x 5 x 7 x 7 = 1225 5 x 7 x 7 = 245 1225/245 = 5 The prime factorization of 5 is 5.

13 over 15 You divide both figures with the same number until one of them is a prime number. In this case, you're only able to divide by 2. (then 26 is turned into 13, which is a prime number)

5 x 5 x 7 over 5 x 7 x 7

No numbers, because 2 is the smallest prime number 0 and 1 aren't prime #'s.

There is only one even prime number and that is 2 as all over even numbers can be divided by 2 and 2 is not square so there isn't a number less than 100 that is an even prime square number.

"Prime factorization" is the process of finding which prime numbers (prime factors) you need to multiply together to get a certain number.Examples:21 = 3 x 710 = 2 x 520 = 2 x 2 x 560 = 2 x 2 x 3 x 5(these may also be written as 2*5, 2*2*5, and 2*2*3*5)By convention, prime factorizations are written with the smallest prime numbers first. For example, we wouldn't write 60 = 3 x 2 x 2 x 5. Some texts prefer to write the answer using exponential notation, so that the final answer would be written as 60 = 2^2 x 3 x 5.A prime number is a number that has no factors other than itself and 1, but 1 itself is not regarded as a prime number.The prime numbers below 30 are thus 2, 3, 5, 7, 11, 13, 17, 19, 23, and 29. They can be said to have no prime factorization.Prime FactorsA factor which is a prime number is called a prime factor.Every positive integer can be expressed as a product of prime numbers (its prime factorization). Moreover, each positive integer has only one prime factorization.The prime factors can be found by successive division by prime numbers of increasing value.EXAMPLE : The prime factorization of 54 is 2 x 3 x 3 x 3This can be written as 2 x 3^3The prime factors of 54 are thus 2 and 3.With large numbers, prime factorization is very time-consuming. If there was a quick way to factorize numbers, then it would be easy to break RSA encryption, which uses prime factors, and thereby intercept secret communications over the internet.Prime factorization is expressing a number as the product of its prime factors. Example: 210 The prime factors of 210 are 2, 3, 5 and 7. The prime factorization of 210 is 2 x 3 x 5 x 7.This concept applies to natural numbers.First you need to know the concept of prime number. A number (other than 1) is prime if it can be divided only by 1 and itself. Examples are 2,3,5,7,11,13,17,19,23 ( There are infinitely many primes.)if a number is not prime, there are primes than can be multiplied together to get it.( * means multiply)For example 4 = 2 * 2; 6 = 2*3 ; 9 = 3 * 3; 10 = 2* 5; 14= 2 * 7 ;15 = 3* 5Sometimes it takes more than two primes to make the number.8 = 2 * 2 * 2 ; 12 = 2 * 2 * 3 ; 24 = 2 * 2 *2 * 3 .There is an important theorem that says that every number is either prime or else is the product of primes. Further, except for the order, there is only one set of primes whose product is some given number. These primes are called the prime factorization of the number. ( Numbers that are multiplied together are called factors.)The prime factorization is useful in many ways, but one basic use is for finding the greatest common factor and the least common multiple.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: 210210 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 = 210That's the prime factorization of 210.Prime factorisation is the process of finding prime numbers that when multiplied equal the original number.Example:Words:Say you start with 20. You divide 20 by any number that will have a whole quotient. Let us use 5. 20 divided by 5 is 4. Then you try and divide those numbers. 5 is not divisible by any other numbers making it prime. Do not change the 5. 4 is divisible by 2. 4 divided by 2 is 2. So there for the prime numbers that create 20 when multiplied are 2,2, and 5. To see this process in numbers, see below.205x45x2x2This process is prime factorisation.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: 210210 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 = 210That's the prime factorization of 210.a prime number that can go into a certain number.for example: the prime factorazations of 399 are 3, 7, 19Prime factorization is the expression of a number as the product of its prime factors.2 x 3 x 5 x 7 = 210Prime factorization is the expression of a number as the product of its prime factors.2 x 3 x 5 x 7 = 210

117 = 3 × 3 × 13245 = 5 × 7 × 7

Yes - there are an infinite number of prime numbers. The first prime number after 100100 is 100103.

No - prime numbers are integers - a fraction cannot be a prime number.

875 = 53*7 1000 = 23*53

12/18 = (2*2*3)/(2*3*3)

Just knowing the divisibility rules for the first four prime factors (2, 3, 5 and 7) will help find the prime factorizations of a large percentage of the numbers you will encounter. At the very least, dividing your original number by those factors should cut it down to a manageable size. The first thing you do when starting a prime factorization is notice whether the number is even. If it is, you can take out two as a factor. If not, you can skip over it. The same with 3 and 5. If you know they are not factors just by looking at the number, it saves a lot of trial and error.

3 x 3 x 3 over 3 x 3 x 7 reduces to 3 over 7

Numbers that have only two factors are prime numbers. You're looking for the next three prime numbers over a certain number. But, you didn't tell us what number the three numbers have to be greater than.

When reducing a fraction, find the GCF of the numerator and denominator and divide them both by it. If the GCF is 1, the fraction is already in its simplest form.

522 is composite. Composite numbers have over two factors and prime numbers have only two factors which is one and the number itself.

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