Q: What are the prime factors of the number 17,105,508?

 A: 2, 3, 7, 9697

Why are those the prime factors of the number 17,105,508?

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 17,105,508

17,105,508
Factor Arrows
28,552,754
Factor Arrows
24,276,377
Factor Arrows
31,425,459
Factor Arrows
3475,153
Factor Arrows
767,879
Factor Arrows
79,697

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, 7, 9697

We can check our work by multiplying all of the prime factors together: 2 x 2 x 3 x 3 x 7 x 7 x 9,697 = 17,105,508

This can also be written as 22 x 32 x 72 x 9,6971 = 17,105,508

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


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