Q: What are the prime factors of the number 672,012?

 A: 2, 3, 11, 1697

Why are those the prime factors of the number 672,012?

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 672,012

672,012
Factor Arrows
2336,006
Factor Arrows
2168,003
Factor Arrows
356,001
Factor Arrows
318,667
Factor Arrows
111,697

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, 11, 1697

We can check our work by multiplying all of the prime factors together: 2 x 2 x 3 x 3 x 11 x 1,697 = 672,012

This can also be written as 22 x 32 x 111 x 1,6971 = 672,012

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


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