Q: What are the prime factors of the number 15,371,632?

 A: 2, 47, 20441

Why are those the prime factors of the number 15,371,632?

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 15,371,632

15,371,632
Factor Arrows
27,685,816
Factor Arrows
23,842,908
Factor Arrows
21,921,454
Factor Arrows
2960,727
Factor Arrows
4720,441

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, 47, 20441

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 2 x 47 x 20,441 = 15,371,632

This can also be written as 24 x 471 x 20,4411 = 15,371,632

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


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