Q: What are the prime factors of the number 233,143,332?

 A: 2, 3, 89, 419, 521

Why are those the prime factors of the number 233,143,332?

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 233,143,332

233,143,332
Factor Arrows
2116,571,666
Factor Arrows
258,285,833
Factor Arrows
319,428,611
Factor Arrows
89218,299
Factor Arrows
419521

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, 89, 419, 521

We can check our work by multiplying all of the prime factors together: 2 x 2 x 3 x 89 x 419 x 521 = 233,143,332

This can also be written as 22 x 31 x 891 x 4191 x 5211 = 233,143,332

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


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