Q: What are the prime factors of the number 15,217,480?

 A: 2, 5, 19, 20023

Why are those the prime factors of the number 15,217,480?

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 15,217,480

15,217,480
Factor Arrows
27,608,740
Factor Arrows
23,804,370
Factor Arrows
21,902,185
Factor Arrows
5380,437
Factor Arrows
1920,023

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, 5, 19, 20023

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 5 x 19 x 20,023 = 15,217,480

This can also be written as 23 x 51 x 191 x 20,0231 = 15,217,480

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


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