Q: What are the prime factors of the number 115,621,668?

 A: 2, 3, 43, 193

Why are those the prime factors of the number 115,621,668?

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 115,621,668

115,621,668
Factor Arrows
257,810,834
Factor Arrows
228,905,417
Factor Arrows
39,635,139
Factor Arrows
33,211,713
Factor Arrows
31,070,571
Factor Arrows
3356,857
Factor Arrows
438,299
Factor Arrows
43193

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, 43, 193

We can check our work by multiplying all of the prime factors together: 2 x 2 x 3 x 3 x 3 x 3 x 43 x 43 x 193 = 115,621,668

This can also be written as 22 x 34 x 432 x 1931 = 115,621,668

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


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