Q: What are the prime factors of the number 60,575,112?

 A: 2, 3, 13, 64717

Why are those the prime factors of the number 60,575,112?

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 60,575,112

60,575,112
Factor Arrows
230,287,556
Factor Arrows
215,143,778
Factor Arrows
27,571,889
Factor Arrows
32,523,963
Factor Arrows
3841,321
Factor Arrows
1364,717

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, 13, 64717

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 3 x 3 x 13 x 64,717 = 60,575,112

This can also be written as 23 x 32 x 131 x 64,7171 = 60,575,112

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


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