Q: What are the prime factors of the number 24,412,212?

 A: 2, 3, 11, 20549

Why are those the prime factors of the number 24,412,212?

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 24,412,212

24,412,212
Factor Arrows
212,206,106
Factor Arrows
26,103,053
Factor Arrows
32,034,351
Factor Arrows
3678,117
Factor Arrows
3226,039
Factor Arrows
1120,549

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, 20549

We can check our work by multiplying all of the prime factors together: 2 x 2 x 3 x 3 x 3 x 11 x 20,549 = 24,412,212

This can also be written as 22 x 33 x 111 x 20,5491 = 24,412,212

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


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