Q: What are the prime factors of the number 20,132,028?

 A: 2, 3, 7, 79889

Why are those the prime factors of the number 20,132,028?

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 20,132,028

20,132,028
Factor Arrows
210,066,014
Factor Arrows
25,033,007
Factor Arrows
31,677,669
Factor Arrows
3559,223
Factor Arrows
779,889

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, 7, 79889

We can check our work by multiplying all of the prime factors together: 2 x 2 x 3 x 3 x 7 x 79,889 = 20,132,028

This can also be written as 22 x 32 x 71 x 79,8891 = 20,132,028

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


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