Q: What are the prime factors of the number 231,618,645?

 A: 3, 5, 19, 270899

Why are those the prime factors of the number 231,618,645?

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 231,618,645

231,618,645
Factor Arrows
377,206,215
Factor Arrows
325,735,405
Factor Arrows
55,147,081
Factor Arrows
19270,899

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:

3, 5, 19, 270899

We can check our work by multiplying all of the prime factors together: 3 x 3 x 5 x 19 x 270,899 = 231,618,645

This can also be written as 32 x 51 x 191 x 270,8991 = 231,618,645

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


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