Q: What are the prime factors of the number 116,161,416?

 A: 2, 3, 7, 230479

Why are those the prime factors of the number 116,161,416?

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 116,161,416

116,161,416
Factor Arrows
258,080,708
Factor Arrows
229,040,354
Factor Arrows
214,520,177
Factor Arrows
34,840,059
Factor Arrows
31,613,353
Factor Arrows
7230,479

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, 7, 230479

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 3 x 3 x 7 x 230,479 = 116,161,416

This can also be written as 23 x 32 x 71 x 230,4791 = 116,161,416

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


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