Question
Find the prime factorization of number 21168.
Answer
The prime factorization of 21168 is:
$$ 21168 = 2\cdot2\cdot2\cdot2\cdot3\cdot3\cdot3\cdot7\cdot7 $$Which is the same as :
$$ 21168 = 2^{4}\cdot3^{3}\cdot7^{2} $$Explanation
Prime factorization can be nicely visualized by creating a factorization tree.
| 21168 can be written as 2 × 10584. |
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| 10584 can be written as 2 × 5292. |
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| 5292 can be written as 2 × 2646. |
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| 2646 can be written as 2 × 1323. |
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| 1323 can be written as 3 × 441. |
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| 441 can be written as 3 × 147. |
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| 147 can be written as 3 × 49. |
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| 49 can be written as 7 × 7. |
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| The end nodes are the prime factors of the number 21168. |
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