Q: What are the prime factors of the number 22,220,448?

 A: 2, 3, 231463

Why are those the prime factors of the number 22,220,448?

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 22,220,448

22,220,448
Factor Arrows
211,110,224
Factor Arrows
25,555,112
Factor Arrows
22,777,556
Factor Arrows
21,388,778
Factor Arrows
2694,389
Factor Arrows
3231,463

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, 231463

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 2 x 2 x 3 x 231,463 = 22,220,448

This can also be written as 25 x 31 x 231,4631 = 22,220,448

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


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