Q: What are the prime factors of the number 60,775,758?

 A: 2, 3, 125053

Why are those the prime factors of the number 60,775,758?

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 60,775,758

60,775,758
Factor Arrows
230,387,879
Factor Arrows
310,129,293
Factor Arrows
33,376,431
Factor Arrows
31,125,477
Factor Arrows
3375,159
Factor Arrows
3125,053

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, 125053

We can check our work by multiplying all of the prime factors together: 2 x 3 x 3 x 3 x 3 x 3 x 125,053 = 60,775,758

This can also be written as 21 x 35 x 125,0531 = 60,775,758

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


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