Q: What are the prime factors of the number 68,426,679?

 A: 3, 23, 43117

Why are those the prime factors of the number 68,426,679?

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 68,426,679

68,426,679
Factor Arrows
322,808,893
Factor Arrows
23991,691
Factor Arrows
2343,117

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:

3, 23, 43117

We can check our work by multiplying all of the prime factors together: 3 x 23 x 23 x 43,117 = 68,426,679

This can also be written as 31 x 232 x 43,1171 = 68,426,679

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


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