Q: What are the prime factors of the number 118,231,761?

 A: 3, 37, 397, 2683

Why are those the prime factors of the number 118,231,761?

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 118,231,761

118,231,761
Factor Arrows
339,410,587
Factor Arrows
371,065,151
Factor Arrows
3972,683

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:

3, 37, 397, 2683

We can check our work by multiplying all of the prime factors together: 3 x 37 x 397 x 2,683 = 118,231,761

This can also be written as 31 x 371 x 3971 x 2,6831 = 118,231,761

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


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