Q: What are the prime factors of the number 234,371,060?

 A: 2, 5, 7, 11, 152189

Why are those the prime factors of the number 234,371,060?

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 234,371,060

234,371,060
Factor Arrows
2117,185,530
Factor Arrows
258,592,765
Factor Arrows
511,718,553
Factor Arrows
71,674,079
Factor Arrows
11152,189

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, 5, 7, 11, 152189

We can check our work by multiplying all of the prime factors together: 2 x 2 x 5 x 7 x 11 x 152,189 = 234,371,060

This can also be written as 22 x 51 x 71 x 111 x 152,1891 = 234,371,060

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


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