Q: What are the prime factors of the number 15,136,560?

 A: 2, 3, 5, 21023

Why are those the prime factors of the number 15,136,560?

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 15,136,560

15,136,560
Factor Arrows
27,568,280
Factor Arrows
23,784,140
Factor Arrows
21,892,070
Factor Arrows
2946,035
Factor Arrows
3315,345
Factor Arrows
3105,115
Factor Arrows
521,023

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, 21023

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 2 x 3 x 3 x 5 x 21,023 = 15,136,560

This can also be written as 24 x 32 x 51 x 21,0231 = 15,136,560

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


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