Q: What are the prime factors of the number 12,513,024?

 A: 2, 3, 5431

Why are those the prime factors of the number 12,513,024?

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 12,513,024

12,513,024
Factor Arrows
26,256,512
Factor Arrows
23,128,256
Factor Arrows
21,564,128
Factor Arrows
2782,064
Factor Arrows
2391,032
Factor Arrows
2195,516
Factor Arrows
297,758
Factor Arrows
248,879
Factor Arrows
316,293
Factor Arrows
35,431

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, 5431

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 3 x 3 x 5,431 = 12,513,024

This can also be written as 28 x 32 x 5,4311 = 12,513,024

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


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