Q: What are the prime factors of the number 116,346,752?

 A: 2, 908959

Why are those the prime factors of the number 116,346,752?

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 116,346,752

116,346,752
Factor Arrows
258,173,376
Factor Arrows
229,086,688
Factor Arrows
214,543,344
Factor Arrows
27,271,672
Factor Arrows
23,635,836
Factor Arrows
21,817,918
Factor Arrows
2908,959

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, 908959

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 2 x 2 x 2 x 2 x 908,959 = 116,346,752

This can also be written as 27 x 908,9591 = 116,346,752

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


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