Q: What are the prime factors of the number 70,399,935?

 A: 3, 5, 173827

Why are those the prime factors of the number 70,399,935?

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 70,399,935

70,399,935
Factor Arrows
323,466,645
Factor Arrows
37,822,215
Factor Arrows
32,607,405
Factor Arrows
3869,135
Factor Arrows
5173,827

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, 173827

We can check our work by multiplying all of the prime factors together: 3 x 3 x 3 x 3 x 5 x 173,827 = 70,399,935

This can also be written as 34 x 51 x 173,8271 = 70,399,935

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


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