Q: What are the prime factors of the number 17,206,965?

 A: 3, 5, 197, 647

Why are those the prime factors of the number 17,206,965?

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 17,206,965

17,206,965
Factor Arrows
35,735,655
Factor Arrows
31,911,885
Factor Arrows
3637,295
Factor Arrows
5127,459
Factor Arrows
197647

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, 197, 647

We can check our work by multiplying all of the prime factors together: 3 x 3 x 3 x 5 x 197 x 647 = 17,206,965

This can also be written as 33 x 51 x 1971 x 6471 = 17,206,965

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


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