Q: What are the prime factors of the number 116,336,844?

 A: 2, 3, 13, 41, 43, 47

Why are those the prime factors of the number 116,336,844?

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 116,336,844

116,336,844
Factor Arrows
258,168,422
Factor Arrows
229,084,211
Factor Arrows
39,694,737
Factor Arrows
33,231,579
Factor Arrows
31,077,193
Factor Arrows
1382,861
Factor Arrows
412,021
Factor Arrows
4347

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, 13, 41, 43, 47

We can check our work by multiplying all of the prime factors together: 2 x 2 x 3 x 3 x 3 x 13 x 41 x 43 x 47 = 116,336,844

This can also be written as 22 x 33 x 131 x 411 x 431 x 471 = 116,336,844

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


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