Q: What are the prime factors of the number 22,043,384?

 A: 2, 11, 23, 10891

Why are those the prime factors of the number 22,043,384?

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 22,043,384

22,043,384
Factor Arrows
211,021,692
Factor Arrows
25,510,846
Factor Arrows
22,755,423
Factor Arrows
11250,493
Factor Arrows
2310,891

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, 11, 23, 10891

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 11 x 23 x 10,891 = 22,043,384

This can also be written as 23 x 111 x 231 x 10,8911 = 22,043,384

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


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