Q: What are the prime factors of the number 115,214,016?

 A: 2, 3, 600073

Why are those the prime factors of the number 115,214,016?

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 115,214,016

115,214,016
Factor Arrows
257,607,008
Factor Arrows
228,803,504
Factor Arrows
214,401,752
Factor Arrows
27,200,876
Factor Arrows
23,600,438
Factor Arrows
21,800,219
Factor Arrows
3600,073

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, 600073

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 2 x 2 x 2 x 3 x 600,073 = 115,214,016

This can also be written as 26 x 31 x 600,0731 = 115,214,016

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


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