Q: What are the prime factors of the number 21,526,384?

 A: 2, 11, 11119

Why are those the prime factors of the number 21,526,384?

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 21,526,384

21,526,384
Factor Arrows
210,763,192
Factor Arrows
25,381,596
Factor Arrows
22,690,798
Factor Arrows
21,345,399
Factor Arrows
11122,309
Factor Arrows
1111,119

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, 11, 11119

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 2 x 11 x 11 x 11,119 = 21,526,384

This can also be written as 24 x 112 x 11,1191 = 21,526,384

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


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