Q: What are the prime factors of the number 232,232,312?

 A: 2, 13, 2233003

Why are those the prime factors of the number 232,232,312?

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 232,232,312

232,232,312
Factor Arrows
2116,116,156
Factor Arrows
258,058,078
Factor Arrows
229,029,039
Factor Arrows
132,233,003

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, 13, 2233003

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 13 x 2,233,003 = 232,232,312

This can also be written as 23 x 131 x 2,233,0031 = 232,232,312

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


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