Q: What are the prime factors of the number 116,680,452?

 A: 2, 3, 7, 17, 101, 809

Why are those the prime factors of the number 116,680,452?

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 116,680,452

116,680,452
Factor Arrows
258,340,226
Factor Arrows
229,170,113
Factor Arrows
39,723,371
Factor Arrows
71,389,053
Factor Arrows
1781,709
Factor Arrows
101809

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, 7, 17, 101, 809

We can check our work by multiplying all of the prime factors together: 2 x 2 x 3 x 7 x 17 x 101 x 809 = 116,680,452

This can also be written as 22 x 31 x 71 x 171 x 1011 x 8091 = 116,680,452

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


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