Q: What are the prime factors of the number 22,416,656?

 A: 2, 19, 3881

Why are those the prime factors of the number 22,416,656?

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 22,416,656

22,416,656
Factor Arrows
211,208,328
Factor Arrows
25,604,164
Factor Arrows
22,802,082
Factor Arrows
21,401,041
Factor Arrows
1973,739
Factor Arrows
193,881

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, 19, 3881

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 2 x 19 x 19 x 3,881 = 22,416,656

This can also be written as 24 x 192 x 3,8811 = 22,416,656

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


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