Q: What are the prime factors of the number 115,673,950?

 A: 2, 5, 7, 17, 19441

Why are those the prime factors of the number 115,673,950?

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 115,673,950

115,673,950
Factor Arrows
257,836,975
Factor Arrows
511,567,395
Factor Arrows
52,313,479
Factor Arrows
7330,497
Factor Arrows
1719,441

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, 7, 17, 19441

We can check our work by multiplying all of the prime factors together: 2 x 5 x 5 x 7 x 17 x 19,441 = 115,673,950

This can also be written as 21 x 52 x 71 x 171 x 19,4411 = 115,673,950

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


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