Q: What are the prime factors of the number 15,507,932?

 A: 2, 11, 47, 7499

Why are those the prime factors of the number 15,507,932?

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 15,507,932

15,507,932
Factor Arrows
27,753,966
Factor Arrows
23,876,983
Factor Arrows
11352,453
Factor Arrows
477,499

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, 11, 47, 7499

We can check our work by multiplying all of the prime factors together: 2 x 2 x 11 x 47 x 7,499 = 15,507,932

This can also be written as 22 x 111 x 471 x 7,4991 = 15,507,932

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


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