Q: What are the prime factors of the number 233,644,422?

 A: 2, 3, 11, 3540067

Why are those the prime factors of the number 233,644,422?

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 233,644,422

233,644,422
Factor Arrows
2116,822,211
Factor Arrows
338,940,737
Factor Arrows
113,540,067

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, 3540067

We can check our work by multiplying all of the prime factors together: 2 x 3 x 11 x 3,540,067 = 233,644,422

This can also be written as 21 x 31 x 111 x 3,540,0671 = 233,644,422

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


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