Q: What are the prime factors of the number 22,042,548?

 A: 2, 3, 11, 55663

Why are those the prime factors of the number 22,042,548?

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 22,042,548

22,042,548
Factor Arrows
211,021,274
Factor Arrows
25,510,637
Factor Arrows
31,836,879
Factor Arrows
3612,293
Factor Arrows
1155,663

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, 11, 55663

We can check our work by multiplying all of the prime factors together: 2 x 2 x 3 x 3 x 11 x 55,663 = 22,042,548

This can also be written as 22 x 32 x 111 x 55,6631 = 22,042,548

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


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