Q: What are the prime factors of the number 115,035,100?

 A: 2, 5, 1150351

Why are those the prime factors of the number 115,035,100?

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 115,035,100

115,035,100
Factor Arrows
257,517,550
Factor Arrows
228,758,775
Factor Arrows
55,751,755
Factor Arrows
51,150,351

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, 1150351

We can check our work by multiplying all of the prime factors together: 2 x 2 x 5 x 5 x 1,150,351 = 115,035,100

This can also be written as 22 x 52 x 1,150,3511 = 115,035,100

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


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