Q: What are the prime factors of the number 230,564,274?

 A: 2, 3, 277, 138727

Why are those the prime factors of the number 230,564,274?

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 230,564,274

230,564,274
Factor Arrows
2115,282,137
Factor Arrows
338,427,379
Factor Arrows
277138,727

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, 277, 138727

We can check our work by multiplying all of the prime factors together: 2 x 3 x 277 x 138,727 = 230,564,274

This can also be written as 21 x 31 x 2771 x 138,7271 = 230,564,274

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


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