Q: What are the prime factors of the number 60,957?

 A: 3, 13, 521

Why are those the prime factors of the number 60,957?

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 60,957

60,957
Factor Arrows
320,319
Factor Arrows
36,773
Factor Arrows
13521

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, 13, 521

We can check our work by multiplying all of the prime factors together: 3 x 3 x 13 x 521 = 60,957

This can also be written as 32 x 131 x 5211 = 60,957

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


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