Q: What are the prime factors of the number 233,631,354?

 A: 2, 3, 11, 3539869

Why are those the prime factors of the number 233,631,354?

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 233,631,354

233,631,354
Factor Arrows
2116,815,677
Factor Arrows
338,938,559
Factor Arrows
113,539,869

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, 11, 3539869

We can check our work by multiplying all of the prime factors together: 2 x 3 x 11 x 3,539,869 = 233,631,354

This can also be written as 21 x 31 x 111 x 3,539,8691 = 233,631,354

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


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