Q: What are the prime factors of the number 116,564,022?

 A: 2, 3, 157, 4583

Why are those the prime factors of the number 116,564,022?

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 116,564,022

116,564,022
Factor Arrows
258,282,011
Factor Arrows
319,427,337
Factor Arrows
36,475,779
Factor Arrows
32,158,593
Factor Arrows
3719,531
Factor Arrows
1574,583

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, 157, 4583

We can check our work by multiplying all of the prime factors together: 2 x 3 x 3 x 3 x 3 x 157 x 4,583 = 116,564,022

This can also be written as 21 x 34 x 1571 x 4,5831 = 116,564,022

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


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