Q: What are the prime factors of the number 22,821,424?

 A: 2, 881, 1619

Why are those the prime factors of the number 22,821,424?

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 22,821,424

22,821,424
Factor Arrows
211,410,712
Factor Arrows
25,705,356
Factor Arrows
22,852,678
Factor Arrows
21,426,339
Factor Arrows
8811,619

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, 881, 1619

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 2 x 881 x 1,619 = 22,821,424

This can also be written as 24 x 8811 x 1,6191 = 22,821,424

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


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