Q: What are the prime factors of the number 672,928?

 A: 2, 17, 1237

Why are those the prime factors of the number 672,928?

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 672,928

672,928
Factor Arrows
2336,464
Factor Arrows
2168,232
Factor Arrows
284,116
Factor Arrows
242,058
Factor Arrows
221,029
Factor Arrows
171,237

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, 17, 1237

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 2 x 2 x 17 x 1,237 = 672,928

This can also be written as 25 x 171 x 1,2371 = 672,928

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


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