Q: What are the prime factors of the number 675,712?

 A: 2, 5279

Why are those the prime factors of the number 675,712?

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 675,712

675,712
Factor Arrows
2337,856
Factor Arrows
2168,928
Factor Arrows
284,464
Factor Arrows
242,232
Factor Arrows
221,116
Factor Arrows
210,558
Factor Arrows
25,279

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, 5279

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 2 x 2 x 2 x 2 x 5,279 = 675,712

This can also be written as 27 x 5,2791 = 675,712

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


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