Q: What are the prime factors of the number 17,776,917?

 A: 3, 17, 116189

Why are those the prime factors of the number 17,776,917?

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 17,776,917

17,776,917
Factor Arrows
35,925,639
Factor Arrows
31,975,213
Factor Arrows
17116,189

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, 17, 116189

We can check our work by multiplying all of the prime factors together: 3 x 3 x 17 x 116,189 = 17,776,917

This can also be written as 32 x 171 x 116,1891 = 17,776,917

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


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