Q: What are the prime factors of the number 13,110,255?

 A: 3, 5, 32371

Why are those the prime factors of the number 13,110,255?

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 13,110,255

13,110,255
Factor Arrows
34,370,085
Factor Arrows
31,456,695
Factor Arrows
3485,565
Factor Arrows
3161,855
Factor Arrows
532,371

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:

3, 5, 32371

We can check our work by multiplying all of the prime factors together: 3 x 3 x 3 x 3 x 5 x 32,371 = 13,110,255

This can also be written as 34 x 51 x 32,3711 = 13,110,255

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


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