Q: What are the prime factors of the number 60,651,459?

 A: 3, 11, 479, 1279

Why are those the prime factors of the number 60,651,459?

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 60,651,459

60,651,459
Factor Arrows
320,217,153
Factor Arrows
36,739,051
Factor Arrows
11612,641
Factor Arrows
4791,279

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, 11, 479, 1279

We can check our work by multiplying all of the prime factors together: 3 x 3 x 11 x 479 x 1,279 = 60,651,459

This can also be written as 32 x 111 x 4791 x 1,2791 = 60,651,459

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


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