Q: What are the prime factors of the number 231,434,885?

 A: 5, 11, 277, 1381

Why are those the prime factors of the number 231,434,885?

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 231,434,885

231,434,885
Factor Arrows
546,286,977
Factor Arrows
114,207,907
Factor Arrows
11382,537
Factor Arrows
2771,381

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:

5, 11, 277, 1381

We can check our work by multiplying all of the prime factors together: 5 x 11 x 11 x 277 x 1,381 = 231,434,885

This can also be written as 51 x 112 x 2771 x 1,3811 = 231,434,885

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


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