Q:

# What is the prime factorization of 96?

A:

The prime factorization of 96 is 2 x 2 x 2 x 2 x 2 x 3. In exponential form, this is 25 x 3.

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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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## Related Questions

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The prime factorization of 54 is 2 x 3 x 3 x 3, which can also be written as 2 x 33. Prime factors are the prime numbers that are multiplied to get another number. A prime number is any number that can only be divided by itself and 1, such as 3, 5 and 17; numbers that can be divided by other numbers are called composite numbers.

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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.

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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.