Q: What are the prime factors of the number 234,236,664?

 A: 2, 3, 1084429

Why are those the prime factors of the number 234,236,664?

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 234,236,664

234,236,664
Factor Arrows
2117,118,332
Factor Arrows
258,559,166
Factor Arrows
229,279,583
Factor Arrows
39,759,861
Factor Arrows
33,253,287
Factor Arrows
31,084,429

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, 1084429

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 3 x 3 x 3 x 1,084,429 = 234,236,664

This can also be written as 23 x 33 x 1,084,4291 = 234,236,664

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


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