Q: What are the prime factors of the number 231,034,232?

 A: 2, 11, 13, 201953

Why are those the prime factors of the number 231,034,232?

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 231,034,232

231,034,232
Factor Arrows
2115,517,116
Factor Arrows
257,758,558
Factor Arrows
228,879,279
Factor Arrows
112,625,389
Factor Arrows
13201,953

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, 11, 13, 201953

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 11 x 13 x 201,953 = 231,034,232

This can also be written as 23 x 111 x 131 x 201,9531 = 231,034,232

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


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