Q: What are the prime factors of the number 20,574?

 A: 2, 3, 127

Why are those the prime factors of the number 20,574?

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 20,574

20,574
Factor Arrows
210,287
Factor Arrows
33,429
Factor Arrows
31,143
Factor Arrows
3381
Factor Arrows
3127

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, 127

We can check our work by multiplying all of the prime factors together: 2 x 3 x 3 x 3 x 3 x 127 = 20,574

This can also be written as 21 x 34 x 1271 = 20,574

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


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