Q: What are the prime factors of the number 230,333,780?

 A: 2, 5, 89, 129401

Why are those the prime factors of the number 230,333,780?

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 230,333,780

230,333,780
Factor Arrows
2115,166,890
Factor Arrows
257,583,445
Factor Arrows
511,516,689
Factor Arrows
89129,401

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, 89, 129401

We can check our work by multiplying all of the prime factors together: 2 x 2 x 5 x 89 x 129,401 = 230,333,780

This can also be written as 22 x 51 x 891 x 129,4011 = 230,333,780

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


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