Q: What are the prime factors of the number 60,095,480?

 A: 2, 5, 19, 107, 739

Why are those the prime factors of the number 60,095,480?

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 60,095,480

60,095,480
Factor Arrows
230,047,740
Factor Arrows
215,023,870
Factor Arrows
27,511,935
Factor Arrows
51,502,387
Factor Arrows
1979,073
Factor Arrows
107739

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, 107, 739

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 5 x 19 x 107 x 739 = 60,095,480

This can also be written as 23 x 51 x 191 x 1071 x 7391 = 60,095,480

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


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