Q: What are the prime factors of the number 231,163,344?

 A: 2, 3, 241, 6661

Why are those the prime factors of the number 231,163,344?

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 231,163,344

231,163,344
Factor Arrows
2115,581,672
Factor Arrows
257,790,836
Factor Arrows
228,895,418
Factor Arrows
214,447,709
Factor Arrows
34,815,903
Factor Arrows
31,605,301
Factor Arrows
2416,661

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, 241, 6661

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 241 x 6,661 = 231,163,344

This can also be written as 24 x 32 x 2411 x 6,6611 = 231,163,344

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


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