Q: What are the prime factors of the number 117,543,780?

 A: 2, 3, 5, 17, 107, 359

Why are those the prime factors of the number 117,543,780?

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 117,543,780

117,543,780
Factor Arrows
258,771,890
Factor Arrows
229,385,945
Factor Arrows
39,795,315
Factor Arrows
33,265,105
Factor Arrows
5653,021
Factor Arrows
1738,413
Factor Arrows
107359

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, 17, 107, 359

We can check our work by multiplying all of the prime factors together: 2 x 2 x 3 x 3 x 5 x 17 x 107 x 359 = 117,543,780

This can also be written as 22 x 32 x 51 x 171 x 1071 x 3591 = 117,543,780

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


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