Q: What are the prime factors of the number 89,551,917?

 A: 3, 7, 13, 647

Why are those the prime factors of the number 89,551,917?

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 89,551,917

89,551,917
Factor Arrows
329,850,639
Factor Arrows
39,950,213
Factor Arrows
71,421,459
Factor Arrows
13109,343
Factor Arrows
138,411
Factor Arrows
13647

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, 7, 13, 647

We can check our work by multiplying all of the prime factors together: 3 x 3 x 7 x 13 x 13 x 13 x 647 = 89,551,917

This can also be written as 32 x 71 x 133 x 6471 = 89,551,917

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


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