Q: What are the prime factors of the number 20,552?

 A: 2, 7, 367

Why are those the prime factors of the number 20,552?

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 20,552

20,552
Factor Arrows
210,276
Factor Arrows
25,138
Factor Arrows
22,569
Factor Arrows
7367

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, 7, 367

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 7 x 367 = 20,552

This can also be written as 23 x 71 x 3671 = 20,552

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


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