Q: What are the prime factors of the number 60,972?

 A: 2, 3, 5081

Why are those the prime factors of the number 60,972?

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 60,972

60,972
Factor Arrows
230,486
Factor Arrows
215,243
Factor Arrows
35,081

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, 3, 5081

We can check our work by multiplying all of the prime factors together: 2 x 2 x 3 x 5,081 = 60,972

This can also be written as 22 x 31 x 5,0811 = 60,972

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


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