Q: What are the prime factors of the number 117,363,208?

 A: 2, 3469, 4229

Why are those the prime factors of the number 117,363,208?

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 117,363,208

117,363,208
Factor Arrows
258,681,604
Factor Arrows
229,340,802
Factor Arrows
214,670,401
Factor Arrows
3,4694,229

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, 3469, 4229

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 3,469 x 4,229 = 117,363,208

This can also be written as 23 x 3,4691 x 4,2291 = 117,363,208

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


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