Q: What are the prime factors of the number 32,111,233?

 A: 7, 11, 101, 4129

Why are those the prime factors of the number 32,111,233?

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 32,111,233

32,111,233
Factor Arrows
74,587,319
Factor Arrows
11417,029
Factor Arrows
1014,129

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:

7, 11, 101, 4129

We can check our work by multiplying all of the prime factors together: 7 x 11 x 101 x 4,129 = 32,111,233

This can also be written as 71 x 111 x 1011 x 4,1291 = 32,111,233

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


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