Q: What are the prime factors of the number 115,861,752?

 A: 2, 3, 178799

Why are those the prime factors of the number 115,861,752?

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 115,861,752

115,861,752
Factor Arrows
257,930,876
Factor Arrows
228,965,438
Factor Arrows
214,482,719
Factor Arrows
34,827,573
Factor Arrows
31,609,191
Factor Arrows
3536,397
Factor Arrows
3178,799

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:

2, 3, 178799

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 3 x 3 x 3 x 3 x 178,799 = 115,861,752

This can also be written as 23 x 34 x 178,7991 = 115,861,752

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


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