Q: What are the prime factors of the number 232,406,500?

 A: 2, 5, 464813

Why are those the prime factors of the number 232,406,500?

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 232,406,500

232,406,500
Factor Arrows
2116,203,250
Factor Arrows
258,101,625
Factor Arrows
511,620,325
Factor Arrows
52,324,065
Factor Arrows
5464,813

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, 464813

We can check our work by multiplying all of the prime factors together: 2 x 2 x 5 x 5 x 5 x 464,813 = 232,406,500

This can also be written as 22 x 53 x 464,8131 = 232,406,500

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


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