Q: What are the prime factors of the number 20,992?

 A: 2, 41

Why are those the prime factors of the number 20,992?

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 20,992

20,992
Factor Arrows
210,496
Factor Arrows
25,248
Factor Arrows
22,624
Factor Arrows
21,312
Factor Arrows
2656
Factor Arrows
2328
Factor Arrows
2164
Factor Arrows
282
Factor Arrows
241

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, 41

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 41 = 20,992

This can also be written as 29 x 411 = 20,992

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


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