Q: What are the prime factors of the number 233,242,149?

 A: 3, 7, 23, 257, 1879

Why are those the prime factors of the number 233,242,149?

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 233,242,149

233,242,149
Factor Arrows
377,747,383
Factor Arrows
711,106,769
Factor Arrows
23482,903
Factor Arrows
2571,879

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:

3, 7, 23, 257, 1879

We can check our work by multiplying all of the prime factors together: 3 x 7 x 23 x 257 x 1,879 = 233,242,149

This can also be written as 31 x 71 x 231 x 2571 x 1,8791 = 233,242,149

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


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