Q: What are the prime factors of the number 231,332,211?

 A: 3, 11, 367, 6367

Why are those the prime factors of the number 231,332,211?

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 231,332,211

231,332,211
Factor Arrows
377,110,737
Factor Arrows
325,703,579
Factor Arrows
112,336,689
Factor Arrows
3676,367

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:

3, 11, 367, 6367

We can check our work by multiplying all of the prime factors together: 3 x 3 x 11 x 367 x 6,367 = 231,332,211

This can also be written as 32 x 111 x 3671 x 6,3671 = 231,332,211

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


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