Q: What are the prime factors of the number 15,115,572?

 A: 2, 3, 15551

Why are those the prime factors of the number 15,115,572?

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 15,115,572

15,115,572
Factor Arrows
27,557,786
Factor Arrows
23,778,893
Factor Arrows
31,259,631
Factor Arrows
3419,877
Factor Arrows
3139,959
Factor Arrows
346,653
Factor Arrows
315,551

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, 15551

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 15,551 = 15,115,572

This can also be written as 22 x 35 x 15,5511 = 15,115,572

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


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