Q: What are the prime factors of the number 21,373,556?

 A: 2, 17, 19, 71, 233

Why are those the prime factors of the number 21,373,556?

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 21,373,556

21,373,556
Factor Arrows
210,686,778
Factor Arrows
25,343,389
Factor Arrows
17314,317
Factor Arrows
1916,543
Factor Arrows
71233

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, 17, 19, 71, 233

We can check our work by multiplying all of the prime factors together: 2 x 2 x 17 x 19 x 71 x 233 = 21,373,556

This can also be written as 22 x 171 x 191 x 711 x 2331 = 21,373,556

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


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