Q: What are the prime factors of the number 233,323,028?

 A: 2, 17, 3431221

Why are those the prime factors of the number 233,323,028?

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 233,323,028

233,323,028
Factor Arrows
2116,661,514
Factor Arrows
258,330,757
Factor Arrows
173,431,221

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, 17, 3431221

We can check our work by multiplying all of the prime factors together: 2 x 2 x 17 x 3,431,221 = 233,323,028

This can also be written as 22 x 171 x 3,431,2211 = 233,323,028

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


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