Q: What are the prime factors of the number 21,116,416?

 A: 2, 41243

Why are those the prime factors of the number 21,116,416?

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 21,116,416

21,116,416
Factor Arrows
210,558,208
Factor Arrows
25,279,104
Factor Arrows
22,639,552
Factor Arrows
21,319,776
Factor Arrows
2659,888
Factor Arrows
2329,944
Factor Arrows
2164,972
Factor Arrows
282,486
Factor Arrows
241,243

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, 41243

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 2 x 2 x 2 x 41,243 = 21,116,416

This can also be written as 29 x 41,2431 = 21,116,416

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


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