Q: What are the prime factors of the number 11,713,518?

 A: 2, 3, 216917

Why are those the prime factors of the number 11,713,518?

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 11,713,518

11,713,518
Factor Arrows
25,856,759
Factor Arrows
31,952,253
Factor Arrows
3650,751
Factor Arrows
3216,917

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, 216917

We can check our work by multiplying all of the prime factors together: 2 x 3 x 3 x 3 x 216,917 = 11,713,518

This can also be written as 21 x 33 x 216,9171 = 11,713,518

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


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