Q: What are the prime factors of the number 117,553,504?

 A: 2, 17, 216091

Why are those the prime factors of the number 117,553,504?

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 117,553,504

117,553,504
Factor Arrows
258,776,752
Factor Arrows
229,388,376
Factor Arrows
214,694,188
Factor Arrows
27,347,094
Factor Arrows
23,673,547
Factor Arrows
17216,091

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, 17, 216091

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 2 x 2 x 17 x 216,091 = 117,553,504

This can also be written as 25 x 171 x 216,0911 = 117,553,504

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


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