Q: What are the prime factors of the number 115,565,760?

 A: 2, 3, 5, 40127

Why are those the prime factors of the number 115,565,760?

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 115,565,760

115,565,760
Factor Arrows
257,782,880
Factor Arrows
228,891,440
Factor Arrows
214,445,720
Factor Arrows
27,222,860
Factor Arrows
23,611,430
Factor Arrows
21,805,715
Factor Arrows
3601,905
Factor Arrows
3200,635
Factor Arrows
540,127

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, 40127

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 2 x 2 x 2 x 3 x 3 x 5 x 40,127 = 115,565,760

This can also be written as 26 x 32 x 51 x 40,1271 = 115,565,760

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


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