Q: What are the prime factors of the number 60,245,395?

 A: 5, 7, 23, 67, 1117

Why are those the prime factors of the number 60,245,395?

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 60,245,395

60,245,395
Factor Arrows
512,049,079
Factor Arrows
71,721,297
Factor Arrows
2374,839
Factor Arrows
671,117

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:

5, 7, 23, 67, 1117

We can check our work by multiplying all of the prime factors together: 5 x 7 x 23 x 67 x 1,117 = 60,245,395

This can also be written as 51 x 71 x 231 x 671 x 1,1171 = 60,245,395

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


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