Q: What are the prime factors of the number 118,368,855?

 A: 3, 5, 11, 21739

Why are those the prime factors of the number 118,368,855?

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 118,368,855

118,368,855
Factor Arrows
339,456,285
Factor Arrows
313,152,095
Factor Arrows
52,630,419
Factor Arrows
11239,129
Factor Arrows
1121,739

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, 5, 11, 21739

We can check our work by multiplying all of the prime factors together: 3 x 3 x 5 x 11 x 11 x 21,739 = 118,368,855

This can also be written as 32 x 51 x 112 x 21,7391 = 118,368,855

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


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