Q: What are the prime factors of the number 222,434,232?

 A: 2, 3, 37, 250489

Why are those the prime factors of the number 222,434,232?

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 222,434,232

222,434,232
Factor Arrows
2111,217,116
Factor Arrows
255,608,558
Factor Arrows
227,804,279
Factor Arrows
39,268,093
Factor Arrows
37250,489

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, 37, 250489

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 3 x 37 x 250,489 = 222,434,232

This can also be written as 23 x 31 x 371 x 250,4891 = 222,434,232

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


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