Q: What are the prime factors of the number 960,687?

 A: 3, 7, 13, 17, 23

Why are those the prime factors of the number 960,687?

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 960,687

960,687
Factor Arrows
3320,229
Factor Arrows
3106,743
Factor Arrows
335,581
Factor Arrows
75,083
Factor Arrows
13391
Factor Arrows
1723

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:

3, 7, 13, 17, 23

We can check our work by multiplying all of the prime factors together: 3 x 3 x 3 x 7 x 13 x 17 x 23 = 960,687

This can also be written as 33 x 71 x 131 x 171 x 231 = 960,687

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


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