Q: What are the prime factors of the number 21,271,356?

 A: 2, 3, 89, 2213

Why are those the prime factors of the number 21,271,356?

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 21,271,356

21,271,356
Factor Arrows
210,635,678
Factor Arrows
25,317,839
Factor Arrows
31,772,613
Factor Arrows
3590,871
Factor Arrows
3196,957
Factor Arrows
892,213

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, 89, 2213

We can check our work by multiplying all of the prime factors together: 2 x 2 x 3 x 3 x 3 x 89 x 2,213 = 21,271,356

This can also be written as 22 x 33 x 891 x 2,2131 = 21,271,356

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


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