Q: What are the prime factors of the number 132,023,031?

 A: 3, 7, 67, 103, 911

Why are those the prime factors of the number 132,023,031?

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 132,023,031

132,023,031
Factor Arrows
344,007,677
Factor Arrows
76,286,811
Factor Arrows
6793,833
Factor Arrows
103911

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:

3, 7, 67, 103, 911

We can check our work by multiplying all of the prime factors together: 3 x 7 x 67 x 103 x 911 = 132,023,031

This can also be written as 31 x 71 x 671 x 1031 x 9111 = 132,023,031

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


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