Q: What are the prime factors of the number 116,223,264?

 A: 2, 3, 403553

Why are those the prime factors of the number 116,223,264?

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 116,223,264

116,223,264
Factor Arrows
258,111,632
Factor Arrows
229,055,816
Factor Arrows
214,527,908
Factor Arrows
27,263,954
Factor Arrows
23,631,977
Factor Arrows
31,210,659
Factor Arrows
3403,553

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, 403553

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 2 x 2 x 3 x 3 x 403,553 = 116,223,264

This can also be written as 25 x 32 x 403,5531 = 116,223,264

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


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