Q: What are the prime factors of the number 60,872?

 A: 2, 7, 1087

Why are those the prime factors of the number 60,872?

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 60,872

60,872
Factor Arrows
230,436
Factor Arrows
215,218
Factor Arrows
27,609
Factor Arrows
71,087

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, 7, 1087

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 7 x 1,087 = 60,872

This can also be written as 23 x 71 x 1,0871 = 60,872

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


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