Q: What are the prime factors of the number 116,568,270?

 A: 2, 3, 5, 7, 13, 43, 331

Why are those the prime factors of the number 116,568,270?

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 116,568,270

116,568,270
Factor Arrows
258,284,135
Factor Arrows
319,428,045
Factor Arrows
36,476,015
Factor Arrows
51,295,203
Factor Arrows
7185,029
Factor Arrows
1314,233
Factor Arrows
43331

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, 13, 43, 331

We can check our work by multiplying all of the prime factors together: 2 x 3 x 3 x 5 x 7 x 13 x 43 x 331 = 116,568,270

This can also be written as 21 x 32 x 51 x 71 x 131 x 431 x 3311 = 116,568,270

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


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