Q: What are the prime factors of the number 232,032,210?

 A: 2, 3, 5, 31, 249497

Why are those the prime factors of the number 232,032,210?

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 232,032,210

232,032,210
Factor Arrows
2116,016,105
Factor Arrows
338,672,035
Factor Arrows
57,734,407
Factor Arrows
31249,497

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, 5, 31, 249497

We can check our work by multiplying all of the prime factors together: 2 x 3 x 5 x 31 x 249,497 = 232,032,210

This can also be written as 21 x 31 x 51 x 311 x 249,4971 = 232,032,210

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


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