Q: What are the prime factors of the number 15,346,720?

 A: 2, 5, 95917

Why are those the prime factors of the number 15,346,720?

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 15,346,720

15,346,720
Factor Arrows
27,673,360
Factor Arrows
23,836,680
Factor Arrows
21,918,340
Factor Arrows
2959,170
Factor Arrows
2479,585
Factor Arrows
595,917

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, 5, 95917

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 2 x 2 x 5 x 95,917 = 15,346,720

This can also be written as 25 x 51 x 95,9171 = 15,346,720

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


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