Q: What are the prime factors of the number 233,014,034?

 A: 2, 11, 83, 127609

Why are those the prime factors of the number 233,014,034?

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 233,014,034

233,014,034
Factor Arrows
2116,507,017
Factor Arrows
1110,591,547
Factor Arrows
83127,609

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, 11, 83, 127609

We can check our work by multiplying all of the prime factors together: 2 x 11 x 83 x 127,609 = 233,014,034

This can also be written as 21 x 111 x 831 x 127,6091 = 233,014,034

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


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