Q: What are the prime factors of the number 230,221,116?

 A: 2, 3, 26317

Why are those the prime factors of the number 230,221,116?

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 230,221,116

230,221,116
Factor Arrows
2115,110,558
Factor Arrows
257,555,279
Factor Arrows
319,185,093
Factor Arrows
36,395,031
Factor Arrows
32,131,677
Factor Arrows
3710,559
Factor Arrows
3236,853
Factor Arrows
378,951
Factor Arrows
326,317

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, 26317

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 3 x 3 x 3 x 26,317 = 230,221,116

This can also be written as 22 x 37 x 26,3171 = 230,221,116

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


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