Q: What are the prime factors of the number 62,079,520?

 A: 2, 5, 67, 5791

Why are those the prime factors of the number 62,079,520?

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 62,079,520

62,079,520
Factor Arrows
231,039,760
Factor Arrows
215,519,880
Factor Arrows
27,759,940
Factor Arrows
23,879,970
Factor Arrows
21,939,985
Factor Arrows
5387,997
Factor Arrows
675,791

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, 67, 5791

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 67 x 5,791 = 62,079,520

This can also be written as 25 x 51 x 671 x 5,7911 = 62,079,520

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


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