Q: What are the prime factors of the number 117,117,364?

 A: 2, 7, 13, 321751

Why are those the prime factors of the number 117,117,364?

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 117,117,364

117,117,364
Factor Arrows
258,558,682
Factor Arrows
229,279,341
Factor Arrows
74,182,763
Factor Arrows
13321,751

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, 7, 13, 321751

We can check our work by multiplying all of the prime factors together: 2 x 2 x 7 x 13 x 321,751 = 117,117,364

This can also be written as 22 x 71 x 131 x 321,7511 = 117,117,364

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


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