Q: What are the prime factors of the number 117,367,650?

 A: 2, 3, 5, 86939

Why are those the prime factors of the number 117,367,650?

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 117,367,650

117,367,650
Factor Arrows
258,683,825
Factor Arrows
319,561,275
Factor Arrows
36,520,425
Factor Arrows
32,173,475
Factor Arrows
5434,695
Factor Arrows
586,939

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, 5, 86939

We can check our work by multiplying all of the prime factors together: 2 x 3 x 3 x 3 x 5 x 5 x 86,939 = 117,367,650

This can also be written as 21 x 33 x 52 x 86,9391 = 117,367,650

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


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