Q: What are the prime factors of the number 232,040,300?

 A: 2, 5, 131, 17713

Why are those the prime factors of the number 232,040,300?

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 232,040,300

232,040,300
Factor Arrows
2116,020,150
Factor Arrows
258,010,075
Factor Arrows
511,602,015
Factor Arrows
52,320,403
Factor Arrows
13117,713

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, 131, 17713

We can check our work by multiplying all of the prime factors together: 2 x 2 x 5 x 5 x 131 x 17,713 = 232,040,300

This can also be written as 22 x 52 x 1311 x 17,7131 = 232,040,300

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


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