Q: What are the prime factors of the number 676,732?

 A: 2, 7, 24169

Why are those the prime factors of the number 676,732?

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 676,732

676,732
Factor Arrows
2338,366
Factor Arrows
2169,183
Factor Arrows
724,169

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, 7, 24169

We can check our work by multiplying all of the prime factors together: 2 x 2 x 7 x 24,169 = 676,732

This can also be written as 22 x 71 x 24,1691 = 676,732

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


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