Q: What are the prime factors of the number 15,276,924?

 A: 2, 3, 13, 31

Why are those the prime factors of the number 15,276,924?

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 15,276,924

15,276,924
Factor Arrows
27,638,462
Factor Arrows
23,819,231
Factor Arrows
31,273,077
Factor Arrows
3424,359
Factor Arrows
3141,453
Factor Arrows
347,151
Factor Arrows
315,717
Factor Arrows
35,239
Factor Arrows
13403
Factor Arrows
1331

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, 13, 31

We can check our work by multiplying all of the prime factors together: 2 x 2 x 3 x 3 x 3 x 3 x 3 x 3 x 13 x 13 x 31 = 15,276,924

This can also be written as 22 x 36 x 132 x 311 = 15,276,924

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


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