Q: What are the prime factors of the number 60,141,235?

 A: 5, 7, 11, 1291

Why are those the prime factors of the number 60,141,235?

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 60,141,235

60,141,235
Factor Arrows
512,028,247
Factor Arrows
71,718,321
Factor Arrows
11156,211
Factor Arrows
1114,201
Factor Arrows
111,291

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, 11, 1291

We can check our work by multiplying all of the prime factors together: 5 x 7 x 11 x 11 x 11 x 1,291 = 60,141,235

This can also be written as 51 x 71 x 113 x 1,2911 = 60,141,235

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


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