Q: What are the prime factors of the number 60,810,021?

 A: 3, 251, 997

Why are those the prime factors of the number 60,810,021?

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 60,810,021

60,810,021
Factor Arrows
320,270,007
Factor Arrows
36,756,669
Factor Arrows
32,252,223
Factor Arrows
3750,741
Factor Arrows
3250,247
Factor Arrows
251997

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, 251, 997

We can check our work by multiplying all of the prime factors together: 3 x 3 x 3 x 3 x 3 x 251 x 997 = 60,810,021

This can also be written as 35 x 2511 x 9971 = 60,810,021

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


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