Q: What are the prime factors of the number 233,112,104?

 A: 2, 47, 619979

Why are those the prime factors of the number 233,112,104?

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 233,112,104

233,112,104
Factor Arrows
2116,556,052
Factor Arrows
258,278,026
Factor Arrows
229,139,013
Factor Arrows
47619,979

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, 47, 619979

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 47 x 619,979 = 233,112,104

This can also be written as 23 x 471 x 619,9791 = 233,112,104

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


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