Q: What are the prime factors of the number 126,008,785?

 A: 5, 7, 41, 87811

Why are those the prime factors of the number 126,008,785?

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 126,008,785

126,008,785
Factor Arrows
525,201,757
Factor Arrows
73,600,251
Factor Arrows
4187,811

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, 41, 87811

We can check our work by multiplying all of the prime factors together: 5 x 7 x 41 x 87,811 = 126,008,785

This can also be written as 51 x 71 x 411 x 87,8111 = 126,008,785

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


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