Q: What are the prime factors of the number 60,411,752?

 A: 2, 59, 149, 859

Why are those the prime factors of the number 60,411,752?

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 60,411,752

60,411,752
Factor Arrows
230,205,876
Factor Arrows
215,102,938
Factor Arrows
27,551,469
Factor Arrows
59127,991
Factor Arrows
149859

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, 59, 149, 859

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 59 x 149 x 859 = 60,411,752

This can also be written as 23 x 591 x 1491 x 8591 = 60,411,752

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


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