Q: What are the prime factors of the number 15,500,832?

 A: 2, 3, 61, 2647

Why are those the prime factors of the number 15,500,832?

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 15,500,832

15,500,832
Factor Arrows
27,750,416
Factor Arrows
23,875,208
Factor Arrows
21,937,604
Factor Arrows
2968,802
Factor Arrows
2484,401
Factor Arrows
3161,467
Factor Arrows
612,647

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, 61, 2647

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 2 x 2 x 3 x 61 x 2,647 = 15,500,832

This can also be written as 25 x 31 x 611 x 2,6471 = 15,500,832

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


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