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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 35?

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Full Answer >**The prime factorization of 35 is 5 and 7.**Prime factors are numbers that are only divisible by themselves and one. While every number is divisible by one, most mathematicians do not consider it as a prime factor.Filed Under: -
Q:
## What is the prime factorization of 70?

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Full Answer >**The prime factorization of 70 is 2 times 5 times 7.**Multiplying these three prime numbers together makes 70, and this is the only unique combination of prime numbers that equals 70.Filed Under: -
Q:
## What is the prime factorization of 120?

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Full Answer >**The prime factorization of 120 is 2^3 x 3 x 5.**Prime factorization requires finding the prime numbers that multiply together to yield a particular product. Prime numbers are numbers greater than one that are divisible by only themselves and 1.Filed Under: -
Q:
## What is the prime factorization of 256?

A:The prime factorization of 256 is two to the eighth power, or 2^8. The prime factors of a given number are the prime numbers that, when multiplied together, yield the given number. Prime numbers are numbers that are evenly divisible by only themselves and one.

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