Q: What are the prime factors of the number 672,880?

 A: 2, 5, 13, 647

Why are those the prime factors of the number 672,880?

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 672,880

672,880
Factor Arrows
2336,440
Factor Arrows
2168,220
Factor Arrows
284,110
Factor Arrows
242,055
Factor Arrows
58,411
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:

2, 5, 13, 647

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 2 x 5 x 13 x 647 = 672,880

This can also be written as 24 x 51 x 131 x 6471 = 672,880

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


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