Q: What are the prime factors of the number 672,620?

 A: 2, 5, 13, 199

Why are those the prime factors of the number 672,620?

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 672,620

672,620
Factor Arrows
2336,310
Factor Arrows
2168,155
Factor Arrows
533,631
Factor Arrows
132,587
Factor Arrows
13199

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, 199

We can check our work by multiplying all of the prime factors together: 2 x 2 x 5 x 13 x 13 x 199 = 672,620

This can also be written as 22 x 51 x 132 x 1991 = 672,620

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


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