Q: What are the prime factors of the number 92,296,304?

 A: 2, 5768519

Why are those the prime factors of the number 92,296,304?

Prime factors are the prime numbers that can be multipled together to equal the original number. You find the factors by dividing by prime numbers. It is best shown by creating a Factor Tree.

Factor Tree for the number 92,296,304

92,296,304
Factor Arrows
246,148,152
Factor Arrows
223,074,076
Factor Arrows
211,537,038
Factor Arrows
25,768,519

The numbers in bold above are the prime factors. If there are multiples, you only count them one time. This leads us to our prime factors of:

2, 5768519

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 2 x 5,768,519 = 92,296,304

This can also be written as 24 x 5,768,5191 = 92,296,304

If you would like to know more, or need additional explanation, please review our prime factorization explanation.


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