Q: What are the prime factors of the number 231,060,112?

 A: 2, 31, 223, 2089

Why are those the prime factors of the number 231,060,112?

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 231,060,112

231,060,112
Factor Arrows
2115,530,056
Factor Arrows
257,765,028
Factor Arrows
228,882,514
Factor Arrows
214,441,257
Factor Arrows
31465,847
Factor Arrows
2232,089

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, 31, 223, 2089

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 2 x 31 x 223 x 2,089 = 231,060,112

This can also be written as 24 x 311 x 2231 x 2,0891 = 231,060,112

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


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