Q: What are the prime factors of the number 116,620,440?

 A: 2, 3, 5, 463, 2099

Why are those the prime factors of the number 116,620,440?

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 116,620,440

116,620,440
Factor Arrows
258,310,220
Factor Arrows
229,155,110
Factor Arrows
214,577,555
Factor Arrows
34,859,185
Factor Arrows
5971,837
Factor Arrows
4632,099

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, 463, 2099

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 3 x 5 x 463 x 2,099 = 116,620,440

This can also be written as 23 x 31 x 51 x 4631 x 2,0991 = 116,620,440

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


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