Q: What are the prime factors of the number 116,657,840?

 A: 2, 5, 13, 23, 4877

Why are those the prime factors of the number 116,657,840?

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 116,657,840

116,657,840
Factor Arrows
258,328,920
Factor Arrows
229,164,460
Factor Arrows
214,582,230
Factor Arrows
27,291,115
Factor Arrows
51,458,223
Factor Arrows
13112,171
Factor Arrows
234,877

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, 5, 13, 23, 4877

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 2 x 5 x 13 x 23 x 4,877 = 116,657,840

This can also be written as 24 x 51 x 131 x 231 x 4,8771 = 116,657,840

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


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