Q: What are the prime factors of the number 230,123,000?

 A: 2, 5, 230123

Why are those the prime factors of the number 230,123,000?

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 230,123,000

230,123,000
Factor Arrows
2115,061,500
Factor Arrows
257,530,750
Factor Arrows
228,765,375
Factor Arrows
55,753,075
Factor Arrows
51,150,615
Factor Arrows
5230,123

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, 230123

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 5 x 5 x 5 x 230,123 = 230,123,000

This can also be written as 23 x 53 x 230,1231 = 230,123,000

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


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