Q: What are the prime factors of the number 128,676?

 A: 2, 3, 10723

Why are those the prime factors of the number 128,676?

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 128,676

128,676
Factor Arrows
264,338
Factor Arrows
232,169
Factor Arrows
310,723

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, 10723

We can check our work by multiplying all of the prime factors together: 2 x 2 x 3 x 10,723 = 128,676

This can also be written as 22 x 31 x 10,7231 = 128,676

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


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