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# What is prime factorization of 5125?

# How do you prime factorize?

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 210.

# What is the prime factorization?

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 210.

# 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. Exampl…e: 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 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 210.

# What is prime factor?

Prime factors are factors that are prime numbers. Example; The factors of 12 is 1, 2, 3, 4, 6 and 12. The prime factor of 12 would be 2 and 3 because they are the …only prime numbers in the factor. This is edited by someone else. This is not by her.

# What is a prime factor?

A prime number is a number which cannot be divided by any number, other than itself and 1, without leaving a remainder. The first few prime numbers are 2, 3, 5, 7 11, 13, …17, 19, 23, 29, 31 and so on... A factor is a number which, when multiplied by another number, will give a third number.... such as 10 and 4 are factors of 40; or 25 and 6 are factors of 150. However none of those factors are 'prime factors' - those are prime numbers which are factors of other numbers. The prime factors of 40 are 2, 2, 2 and 5. The three 2s are listed separately because you need to multiply 2 by 2 to get 4, and by 2 again to get 8. Then multiplying that by 5 gives 40. Similarly, the prime factors of 150 are 2, 3, 5 and 5... as 2 by 3 gives 6. 6 by 5 gives 30 and 30 by 5 gives us 150. In short, prime factors of a number are the smallest numbers which when multiplied together give us that number, and which themselves are not capable of being evenly divided. it is a number than can only be divisble by 1. these numbers are numbers like 1,2,3,5,7,11,13,17,19... etc...

# What are prime factor?

All nonzero numbers have factors. Some factors are prime numbers. These are known as prime factors. 1, 2, 3 and 6 are the factors of 6. 2 and 3 are the prime factors of 6.

# What is prime factorization?

"Prime factorization" is the process of finding which prime numbers(prime factors) you need to multiply together to get a certainnumber. Examples: 21 = 3 x 7 10 = 2 x 5 20 = …2 x 2 x 5 60 = 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 smallestprime numbers first. For example, we wouldn't write 60 = 3 x 2 x 2x 5. Some texts prefer to write the answer using exponentialnotation, so that the final answer would be written as 60 = 2^2 x 3x 5. A prime number is a number that has no factors other than itselfand 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 Factors A factor which is a prime number is called a primefactor. Every positive integer can be expressed as a product of primenumbers (its prime factorization). Moreover, each positive integerhas only one prime factorization. The prime factors can be found by successive division by primenumbers of increasing value. EXAMPLE : The prime factorization of 54 is 2 x 3 x 3 x 3 This can be written as 2 x 3^3 The prime factors of 54 are thus 2 and 3. With large numbers, prime factorization is very time-consuming. Ifthere was a quick way to factorize numbers, then it would be easyto break RSA encryption, which uses prime factors, and therebyintercept secret communications over the internet. Prime factorization is expressing a number as the product of itsprime factors. Example: 210 The prime factors of 210 are 2, 3, 5and 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 manyprimes.) if a number is not prime, there are primes than can be multipliedtogether to get it. ( * means multiply) For example 4 = 2 * 2; 6 = 2*3 ; 9 = 3 * 3; 10 = 2* 5; 14= 2 * 7;15 = 3* 5 Sometimes 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 eitherprime or else is the product of primes. Further, except for theorder, there is only one set of primes whose product is some givennumber. These primes are called the prime factorization of thenumber. ( Numbers that are multiplied together are called factors.) The prime factorization is useful in many ways, but one basic useis for finding the greatest common factor and the least commonmultiple. All composite numbers can be expressed as unique products of primenumbers. This is accomplished by dividing the original number andits factors by prime numbers until all the factors are prime. Afactor 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 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. 20 5x4 5x2x2 This process is prime factorisation. All composite numbers can be expressed as unique products of primenumbers. This is accomplished by dividing the original number andits factors by prime numbers until all the factors are prime. Afactor 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 210. a prime number that can go into a certain number. for example: the prime factorazations of 399 are 3, 7, 19 Prime factorization is the expression of a number as the product of its prime factors. 2 x 3 x 5 x 7 = 210 Prime factorization is the expression of a number as the product of its prime factors. 2 x 3 x 5 x 7 = 210 .

# Is the prime factorization of 70 prime?

The Prime Factorization for 70 is 7 x 5 x 2

# What are prime factors?

Prime factors are prime numbers that are factors of a given number. Example:.
All factors of 420 are 1, 2, 3, 4, 5, 6, 7, 10, 12, 14, 15, 20, 21, 28, 30, 35, 42, 60, 70, 84, …105, 140, 210, and 420, but the prime factors having a product of 420 when multiplied together are 2 x 2 x 3 x 5 x 7. All nonzero numbers have factors. Some factors are prime numbers. These are known as prime factors. 1, 2, 3 and 6 are the factors of 6. 2 and 3 are the prime factors of 6.

# How do you do prime factorization?

To find the prime factorization of a number, divide the number by each prime number up to the greatest prime that will go into the number leaving no remainder. As an example…, this is the process for factorization of 648: 648/2=324 324/2=162 162/2=81 81/3=27 27/3=9 9/3=3 3/3=1 Listing each divisor as a prime factor, the prime factorization of 648 is 2x2x3x3x3x3 (or 23x34 in exponential form). Keep dividing the original number by prime numbers until all the factors are prime. A large majority of the numbers you will encounter are multiples of 2, 3, 5 and/or 7. Start there. well first of all you need to know what prime factorization means: prime factorization is the process of decomposing a number into its constituent prime numbers; the calculation of all prime factors in a number. Step 1: write your number down and draw 2 diaganal lines down on each side no w you will need to find to factors that will multiply equally to get the number. say you had 10 the two numbers would be 2 * 5= 10, 2 is prime and 5 is prime so you cirle both of them and your prime factorization would be 10=2x5 and that is how you do prime factorization. EX. BELOW

# How do you get the answer for prime factorization?

It's done by dividing your target number by prime numbers until all the factors are prime. Some people use factor trees, rainbows, ladders, fireworks, etc. as visual aids. E…xample 210: 210 105,2 35,3,2 7,5,3,2 The prime factorization of 210 is 2 x 3 x 5 x 7.

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# What are prime factorizations?

Prime factorization is finding the factors of a number that are all prime. Here's how you do it: Find 2 factors of your number. Then look at your 2 factors and determine if on…e or both of them is not prime. If it is not a prime factor it. Repeat this process until all your factors are prime. Here's an example: Find the prime factors of the number 84: 84 / \\ 42 x 2 (84 is 42 times 2) / \\ 21 x 2 (42 is 21 times 2) / \\ 7 x 3 (21 is 7 times 3) (7 and 3 are both prime, so we stop!) So the prime factors of 84 are 7 x 3 x 2 x 2.

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# What are the prime factors and prime factorization?

All numbers have factors. Some factors are prime numbers. These are prime factors. A factor string where all the factors are prime numbers is called a prime factorization.

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# What are the prime factors and prime factors of 72?

Prime factors are the prime numbers that can be multiplied by a whole number to reach the objective. For 72, the prime factors are 2 and 3. Other factors include 1, 4, 6, 8,… 9, 12, 18, 24, 36 and 72. The prime factorization is 2 x 2 x 2 x 3 x 3 = 72

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# What is prime factorizations?

it is when you "factor tree" a number down until it cn non longer be broken down.2 factors of 84 are 4 and 21 because when you multiply them, you get 84. factor 4 down into 2 …and 2. factor 21 down into 3 and 7. in this case, the prime factorization is two to the second power times three times seven.

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# What is a prime factoralization?

Any number can be broken down, or factored, into smaller and smaller factors which multiply to give the original number, when you have reached the smallest possible factors, t…hen those factors will be prime, all those factors together constitute the prime factorization of that number.