Q: What are the prime factors of the number 672,217,335?

 A: 3, 5, 107, 139609

Why are those the prime factors of the number 672,217,335?

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 672,217,335

672,217,335
Factor Arrows
3224,072,445
Factor Arrows
374,690,815
Factor Arrows
514,938,163
Factor Arrows
107139,609

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, 5, 107, 139609

We can check our work by multiplying all of the prime factors together: 3 x 3 x 5 x 107 x 139,609 = 672,217,335

This can also be written as 32 x 51 x 1071 x 139,6091 = 672,217,335

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


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