Q: What are the prime factors of the number 32,212,134?

 A: 2, 3, 83, 7187

Why are those the prime factors of the number 32,212,134?

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 32,212,134

32,212,134
Factor Arrows
216,106,067
Factor Arrows
35,368,689
Factor Arrows
31,789,563
Factor Arrows
3596,521
Factor Arrows
837,187

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, 83, 7187

We can check our work by multiplying all of the prime factors together: 2 x 3 x 3 x 3 x 83 x 7,187 = 32,212,134

This can also be written as 21 x 33 x 831 x 7,1871 = 32,212,134

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


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