Q: What are the prime factors of the number 672,208?

 A: 2, 42013

Why are those the prime factors of the number 672,208?

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 672,208

672,208
Factor Arrows
2336,104
Factor Arrows
2168,052
Factor Arrows
284,026
Factor Arrows
242,013

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, 42013

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 2 x 42,013 = 672,208

This can also be written as 24 x 42,0131 = 672,208

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


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