Q: What are the prime factors of the number 116,277,344?

 A: 2, 367, 9901

Why are those the prime factors of the number 116,277,344?

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 116,277,344

116,277,344
Factor Arrows
258,138,672
Factor Arrows
229,069,336
Factor Arrows
214,534,668
Factor Arrows
27,267,334
Factor Arrows
23,633,667
Factor Arrows
3679,901

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, 367, 9901

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 2 x 2 x 367 x 9,901 = 116,277,344

This can also be written as 25 x 3671 x 9,9011 = 116,277,344

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


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