Q: What are the prime factors of the number 231,323,112?

 A: 2, 3, 37, 71, 1223

Why are those the prime factors of the number 231,323,112?

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 231,323,112

231,323,112
Factor Arrows
2115,661,556
Factor Arrows
257,830,778
Factor Arrows
228,915,389
Factor Arrows
39,638,463
Factor Arrows
33,212,821
Factor Arrows
3786,833
Factor Arrows
711,223

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, 37, 71, 1223

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 3 x 3 x 37 x 71 x 1,223 = 231,323,112

This can also be written as 23 x 32 x 371 x 711 x 1,2231 = 231,323,112

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


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