Q: What are the prime factors of the number 3,231,232?

 A: 2, 6311

Why are those the prime factors of the number 3,231,232?

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 3,231,232

3,231,232
Factor Arrows
21,615,616
Factor Arrows
2807,808
Factor Arrows
2403,904
Factor Arrows
2201,952
Factor Arrows
2100,976
Factor Arrows
250,488
Factor Arrows
225,244
Factor Arrows
212,622
Factor Arrows
26,311

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, 6311

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 6,311 = 3,231,232

This can also be written as 29 x 6,3111 = 3,231,232

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


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