Q: What are the prime factors of the number 230,232,996?

 A: 2, 3, 7, 304541

Why are those the prime factors of the number 230,232,996?

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 230,232,996

230,232,996
Factor Arrows
2115,116,498
Factor Arrows
257,558,249
Factor Arrows
319,186,083
Factor Arrows
36,395,361
Factor Arrows
32,131,787
Factor Arrows
7304,541

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, 7, 304541

We can check our work by multiplying all of the prime factors together: 2 x 2 x 3 x 3 x 3 x 7 x 304,541 = 230,232,996

This can also be written as 22 x 33 x 71 x 304,5411 = 230,232,996

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


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