Q: What are the prime factors of the number 231,300,032?

 A: 2, 233, 15511

Why are those the prime factors of the number 231,300,032?

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 231,300,032

231,300,032
Factor Arrows
2115,650,016
Factor Arrows
257,825,008
Factor Arrows
228,912,504
Factor Arrows
214,456,252
Factor Arrows
27,228,126
Factor Arrows
23,614,063
Factor Arrows
23315,511

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, 233, 15511

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 2 x 2 x 2 x 233 x 15,511 = 231,300,032

This can also be written as 26 x 2331 x 15,5111 = 231,300,032

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


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