Q: What are the prime factors of the number 118,180,839?

 A: 3, 7, 2213, 2543

Why are those the prime factors of the number 118,180,839?

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 118,180,839

118,180,839
Factor Arrows
339,393,613
Factor Arrows
75,627,659
Factor Arrows
2,2132,543

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, 7, 2213, 2543

We can check our work by multiplying all of the prime factors together: 3 x 7 x 2,213 x 2,543 = 118,180,839

This can also be written as 31 x 71 x 2,2131 x 2,5431 = 118,180,839

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


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