Q: What are the prime factors of the number 20,122,032?

 A: 2, 3, 7, 59887

Why are those the prime factors of the number 20,122,032?

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 20,122,032

20,122,032
Factor Arrows
210,061,016
Factor Arrows
25,030,508
Factor Arrows
22,515,254
Factor Arrows
21,257,627
Factor Arrows
3419,209
Factor Arrows
759,887

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, 59887

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 2 x 3 x 7 x 59,887 = 20,122,032

This can also be written as 24 x 31 x 71 x 59,8871 = 20,122,032

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


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