Q: What are the prime factors of the number 94,260,656?

 A: 2, 7, 103, 8171

Why are those the prime factors of the number 94,260,656?

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 94,260,656

94,260,656
Factor Arrows
247,130,328
Factor Arrows
223,565,164
Factor Arrows
211,782,582
Factor Arrows
25,891,291
Factor Arrows
7841,613
Factor Arrows
1038,171

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, 7, 103, 8171

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 2 x 7 x 103 x 8,171 = 94,260,656

This can also be written as 24 x 71 x 1031 x 8,1711 = 94,260,656

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


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