Q: What are the prime factors of the number 60,250,560?

 A: 2, 3, 5, 62761

Why are those the prime factors of the number 60,250,560?

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 60,250,560

60,250,560
Factor Arrows
230,125,280
Factor Arrows
215,062,640
Factor Arrows
27,531,320
Factor Arrows
23,765,660
Factor Arrows
21,882,830
Factor Arrows
2941,415
Factor Arrows
3313,805
Factor Arrows
562,761

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, 5, 62761

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 2 x 2 x 2 x 3 x 5 x 62,761 = 60,250,560

This can also be written as 26 x 31 x 51 x 62,7611 = 60,250,560

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


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