Q: What are the prime factors of the number 22,111,552?

 A: 2, 439, 787

Why are those the prime factors of the number 22,111,552?

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 22,111,552

22,111,552
Factor Arrows
211,055,776
Factor Arrows
25,527,888
Factor Arrows
22,763,944
Factor Arrows
21,381,972
Factor Arrows
2690,986
Factor Arrows
2345,493
Factor Arrows
439787

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, 439, 787

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 2 x 2 x 2 x 439 x 787 = 22,111,552

This can also be written as 26 x 4391 x 7871 = 22,111,552

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


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