Q: What are the prime factors of the number 115,112,350?

 A: 2, 5, 853, 2699

Why are those the prime factors of the number 115,112,350?

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 115,112,350

115,112,350
Factor Arrows
257,556,175
Factor Arrows
511,511,235
Factor Arrows
52,302,247
Factor Arrows
8532,699

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, 853, 2699

We can check our work by multiplying all of the prime factors together: 2 x 5 x 5 x 853 x 2,699 = 115,112,350

This can also be written as 21 x 52 x 8531 x 2,6991 = 115,112,350

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


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