Q: What are the prime factors of the number 234,530,127?

 A: 3, 13, 41, 43, 379

Why are those the prime factors of the number 234,530,127?

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 234,530,127

234,530,127
Factor Arrows
378,176,709
Factor Arrows
326,058,903
Factor Arrows
38,686,301
Factor Arrows
13668,177
Factor Arrows
4116,297
Factor Arrows
43379

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, 13, 41, 43, 379

We can check our work by multiplying all of the prime factors together: 3 x 3 x 3 x 13 x 41 x 43 x 379 = 234,530,127

This can also be written as 33 x 131 x 411 x 431 x 3791 = 234,530,127

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


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