Q: What are the prime factors of the number 60,453,525?

 A: 3, 5, 11, 73277

Why are those the prime factors of the number 60,453,525?

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 60,453,525

60,453,525
Factor Arrows
320,151,175
Factor Arrows
54,030,235
Factor Arrows
5806,047
Factor Arrows
1173,277

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, 5, 11, 73277

We can check our work by multiplying all of the prime factors together: 3 x 5 x 5 x 11 x 73,277 = 60,453,525

This can also be written as 31 x 52 x 111 x 73,2771 = 60,453,525

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


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