Q: What are the prime factors of the number 15,237,540?

 A: 2, 3, 5, 84653

Why are those the prime factors of the number 15,237,540?

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 15,237,540

15,237,540
Factor Arrows
27,618,770
Factor Arrows
23,809,385
Factor Arrows
31,269,795
Factor Arrows
3423,265
Factor Arrows
584,653

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, 5, 84653

We can check our work by multiplying all of the prime factors together: 2 x 2 x 3 x 3 x 5 x 84,653 = 15,237,540

This can also be written as 22 x 32 x 51 x 84,6531 = 15,237,540

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


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