Q: What are the prime factors of the number 15,135,488?

 A: 2, 59123

Why are those the prime factors of the number 15,135,488?

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 15,135,488

15,135,488
Factor Arrows
27,567,744
Factor Arrows
23,783,872
Factor Arrows
21,891,936
Factor Arrows
2945,968
Factor Arrows
2472,984
Factor Arrows
2236,492
Factor Arrows
2118,246
Factor Arrows
259,123

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, 59123

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 59,123 = 15,135,488

This can also be written as 28 x 59,1231 = 15,135,488

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


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