Q: What are the prime factors of the number 70,637,724?

 A: 2, 3, 654053

Why are those the prime factors of the number 70,637,724?

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 70,637,724

70,637,724
Factor Arrows
235,318,862
Factor Arrows
217,659,431
Factor Arrows
35,886,477
Factor Arrows
31,962,159
Factor Arrows
3654,053

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, 3, 654053

We can check our work by multiplying all of the prime factors together: 2 x 2 x 3 x 3 x 3 x 654,053 = 70,637,724

This can also be written as 22 x 33 x 654,0531 = 70,637,724

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


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