Q: What are the prime factors of the number 60,060,072?

 A: 2, 3, 97, 25799

Why are those the prime factors of the number 60,060,072?

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 60,060,072

60,060,072
Factor Arrows
230,030,036
Factor Arrows
215,015,018
Factor Arrows
27,507,509
Factor Arrows
32,502,503
Factor Arrows
9725,799

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, 97, 25799

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 3 x 97 x 25,799 = 60,060,072

This can also be written as 23 x 31 x 971 x 25,7991 = 60,060,072

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


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