Q: What are the prime factors of the number 115,616,550?

 A: 2, 3, 5, 7, 149, 739

Why are those the prime factors of the number 115,616,550?

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 115,616,550

115,616,550
Factor Arrows
257,808,275
Factor Arrows
319,269,425
Factor Arrows
53,853,885
Factor Arrows
5770,777
Factor Arrows
7110,111
Factor Arrows
149739

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, 7, 149, 739

We can check our work by multiplying all of the prime factors together: 2 x 3 x 5 x 5 x 7 x 149 x 739 = 115,616,550

This can also be written as 21 x 31 x 52 x 71 x 1491 x 7391 = 115,616,550

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


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