Q: What are the prime factors of the number 231,286,032?

 A: 2, 3, 1606153

Why are those the prime factors of the number 231,286,032?

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 231,286,032

231,286,032
Factor Arrows
2115,643,016
Factor Arrows
257,821,508
Factor Arrows
228,910,754
Factor Arrows
214,455,377
Factor Arrows
34,818,459
Factor Arrows
31,606,153

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, 1606153

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 2 x 3 x 3 x 1,606,153 = 231,286,032

This can also be written as 24 x 32 x 1,606,1531 = 231,286,032

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


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