Q: What are the prime factors of the number 60,600,501?

 A: 3, 13, 41, 4211

Why are those the prime factors of the number 60,600,501?

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 60,600,501

60,600,501
Factor Arrows
320,200,167
Factor Arrows
36,733,389
Factor Arrows
32,244,463
Factor Arrows
13172,651
Factor Arrows
414,211

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, 13, 41, 4211

We can check our work by multiplying all of the prime factors together: 3 x 3 x 3 x 13 x 41 x 4,211 = 60,600,501

This can also be written as 33 x 131 x 411 x 4,2111 = 60,600,501

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


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