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# What is the prime factorization of 96?

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### Quick Answer

**The prime factorization of 96 is 2 x 2 x 2 x 2 x 2 x 3.** In exponential form, this is 2^{5} x 3.

Prime factorization is a process for finding which prime numbers can be multiplied together to make a number; prime numbers are numbers that can only by divided by 1 and themselves. Dividing 96 by the smallest prime number, 2, results in the factor of 48. One can continue this process of dividing 48 by 2 until the only remaining factor is 3, which is also a prime number. At this point the process is done, with the resulting equation of 2 x 2 x 2 x 2 x 2 x 3 = 96.

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Q:
## What is the prime factorization of 56?

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Full Answer >**The prime factorization of 56 is 2 x 2 x 2 x 7.**Both the prime numbers 2 and 7 divide 56 without leaving a remainder.Filed Under: -
Q:
## What is the prime factorization of 99?

A:The prime factorization of 99 is 3 times 3 times 11, or 3^2 times 11. Prime factorization requires finding the prime numbers that multiply together to make a particular number. Prime numbers are numbers that are evenly divisible by only themselves and one.

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Q:
## What is the prime factorization of 36?

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Full Answer >**The prime factorization of 36 can be written as 2x2x3x3.**Numbers greater than 1 that can only be divided by themselves and 1 are called prime numbers. Each non-prime number has a unique prime factorization.Filed Under: -
Q:
## How do you find prime numbers?

A:To find prime numbers, use factorization to break down numbers and test whether they are prime or not. Numbers that are prime only have themselves and 1 as their factors; if they break down into other smaller numbers, they are not prime.

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