Q: What are the prime factors of the number 20,800?

 A: 2, 5, 13

Why are those the prime factors of the number 20,800?

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 20,800

20,800
Factor Arrows
210,400
Factor Arrows
25,200
Factor Arrows
22,600
Factor Arrows
21,300
Factor Arrows
2650
Factor Arrows
2325
Factor Arrows
565
Factor Arrows
513

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, 5, 13

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 5 x 5 x 13 = 20,800

This can also be written as 26 x 52 x 131 = 20,800

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


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