Q: What are the prime factors of the number 62,142,560?

 A: 2, 5, 388391

Why are those the prime factors of the number 62,142,560?

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 62,142,560

62,142,560
Factor Arrows
231,071,280
Factor Arrows
215,535,640
Factor Arrows
27,767,820
Factor Arrows
23,883,910
Factor Arrows
21,941,955
Factor Arrows
5388,391

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, 388391

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 388,391 = 62,142,560

This can also be written as 25 x 51 x 388,3911 = 62,142,560

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


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