Q: What are the prime factors of the number 233,410,014?

 A: 2, 3, 107, 121189

Why are those the prime factors of the number 233,410,014?

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 233,410,014

233,410,014
Factor Arrows
2116,705,007
Factor Arrows
338,901,669
Factor Arrows
312,967,223
Factor Arrows
107121,189

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, 107, 121189

We can check our work by multiplying all of the prime factors together: 2 x 3 x 3 x 107 x 121,189 = 233,410,014

This can also be written as 21 x 32 x 1071 x 121,1891 = 233,410,014

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


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