Q: What are the prime factors of the number 372,536,415?

 A: 3, 5, 67, 13729

Why are those the prime factors of the number 372,536,415?

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 372,536,415

372,536,415
Factor Arrows
3124,178,805
Factor Arrows
341,392,935
Factor Arrows
313,797,645
Factor Arrows
34,599,215
Factor Arrows
5919,843
Factor Arrows
6713,729

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, 67, 13729

We can check our work by multiplying all of the prime factors together: 3 x 3 x 3 x 3 x 5 x 67 x 13,729 = 372,536,415

This can also be written as 34 x 51 x 671 x 13,7291 = 372,536,415

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


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