Q: What are the prime factors of the number 15,622,528?

 A: 2, 122051

Why are those the prime factors of the number 15,622,528?

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 15,622,528

15,622,528
Factor Arrows
27,811,264
Factor Arrows
23,905,632
Factor Arrows
21,952,816
Factor Arrows
2976,408
Factor Arrows
2488,204
Factor Arrows
2244,102
Factor Arrows
2122,051

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, 122051

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 122,051 = 15,622,528

This can also be written as 27 x 122,0511 = 15,622,528

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


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