Q: What are the prime factors of the number 115,663,450?

 A: 2, 5, 7, 19, 17393

Why are those the prime factors of the number 115,663,450?

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 115,663,450

115,663,450
Factor Arrows
257,831,725
Factor Arrows
511,566,345
Factor Arrows
52,313,269
Factor Arrows
7330,467
Factor Arrows
1917,393

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, 19, 17393

We can check our work by multiplying all of the prime factors together: 2 x 5 x 5 x 7 x 19 x 17,393 = 115,663,450

This can also be written as 21 x 52 x 71 x 191 x 17,3931 = 115,663,450

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


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