Q: What are the prime factors of the number 233,805?

 A: 3, 5, 11, 13, 109

Why are those the prime factors of the number 233,805?

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 233,805

233,805
Factor Arrows
377,935
Factor Arrows
515,587
Factor Arrows
111,417
Factor Arrows
13109

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, 5, 11, 13, 109

We can check our work by multiplying all of the prime factors together: 3 x 5 x 11 x 13 x 109 = 233,805

This can also be written as 31 x 51 x 111 x 131 x 1091 = 233,805

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


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