Q: What are the prime factors of the number 94,185,875?

 A: 5, 7, 107641

Why are those the prime factors of the number 94,185,875?

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 94,185,875

94,185,875
Factor Arrows
518,837,175
Factor Arrows
53,767,435
Factor Arrows
5753,487
Factor Arrows
7107,641

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:

5, 7, 107641

We can check our work by multiplying all of the prime factors together: 5 x 5 x 5 x 7 x 107,641 = 94,185,875

This can also be written as 53 x 71 x 107,6411 = 94,185,875

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


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