Q: What are the prime factors of the number 617,812?

 A: 2, 13, 109

Why are those the prime factors of the number 617,812?

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 617,812

617,812
Factor Arrows
2308,906
Factor Arrows
2154,453
Factor Arrows
1311,881
Factor Arrows
109109

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, 13, 109

We can check our work by multiplying all of the prime factors together: 2 x 2 x 13 x 109 x 109 = 617,812

This can also be written as 22 x 131 x 1092 = 617,812

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


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