Q: What are the prime factors of the number 117,627,832?

 A: 2, 7, 101, 2971

Why are those the prime factors of the number 117,627,832?

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 117,627,832

117,627,832
Factor Arrows
258,813,916
Factor Arrows
229,406,958
Factor Arrows
214,703,479
Factor Arrows
72,100,497
Factor Arrows
7300,071
Factor Arrows
1012,971

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, 101, 2971

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 7 x 7 x 101 x 2,971 = 117,627,832

This can also be written as 23 x 72 x 1011 x 2,9711 = 117,627,832

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


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