Q: What are the prime factors of the number 60,535,520?

 A: 2, 5, 19, 19913

Why are those the prime factors of the number 60,535,520?

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 60,535,520

60,535,520
Factor Arrows
230,267,760
Factor Arrows
215,133,880
Factor Arrows
27,566,940
Factor Arrows
23,783,470
Factor Arrows
21,891,735
Factor Arrows
5378,347
Factor Arrows
1919,913

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, 5, 19, 19913

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 2 x 2 x 5 x 19 x 19,913 = 60,535,520

This can also be written as 25 x 51 x 191 x 19,9131 = 60,535,520

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


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