Q: What are the prime factors of the number 17,016,318?

 A: 2, 3, 11, 1061

Why are those the prime factors of the number 17,016,318?

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 17,016,318

17,016,318
Factor Arrows
28,508,159
Factor Arrows
32,836,053
Factor Arrows
3945,351
Factor Arrows
3315,117
Factor Arrows
3105,039
Factor Arrows
335,013
Factor Arrows
311,671
Factor Arrows
111,061

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, 11, 1061

We can check our work by multiplying all of the prime factors together: 2 x 3 x 3 x 3 x 3 x 3 x 3 x 11 x 1,061 = 17,016,318

This can also be written as 21 x 36 x 111 x 1,0611 = 17,016,318

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


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