Q: What are the prime factors of the number 32,717,069?

 A: 7, 11, 19, 107

Why are those the prime factors of the number 32,717,069?

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 32,717,069

32,717,069
Factor Arrows
74,673,867
Factor Arrows
11424,897
Factor Arrows
1138,627
Factor Arrows
192,033
Factor Arrows
19107

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, 19, 107

We can check our work by multiplying all of the prime factors together: 7 x 11 x 11 x 19 x 19 x 107 = 32,717,069

This can also be written as 71 x 112 x 192 x 1071 = 32,717,069

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


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