Q: What are the prime factors of the number 232,360,164?

 A: 2, 3, 717161

Why are those the prime factors of the number 232,360,164?

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 232,360,164

232,360,164
Factor Arrows
2116,180,082
Factor Arrows
258,090,041
Factor Arrows
319,363,347
Factor Arrows
36,454,449
Factor Arrows
32,151,483
Factor Arrows
3717,161

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, 717161

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 717,161 = 232,360,164

This can also be written as 22 x 34 x 717,1611 = 232,360,164

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


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