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.

## Related Questions

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The prime factorization of 72 is 23x 32, or 2 x 2 x 2 x 3 x 3. The prime factorization of a number involves determining the factors of a number that are also prime numbers and multiply together to equal the original number.

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The prime factorization of 85 is 5 x 17. The prime factorization of a number involves breaking down a number into a combination of its prime factors. The final factorization can be two or more prime numbers and may contain duplicates.

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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.