Question
Find the prime factorization of number 21296.
Answer
The prime factorization of 21296 is:
$$ 21296 = 2\cdot2\cdot2\cdot2\cdot11\cdot11\cdot11 $$Which is the same as :
$$ 21296 = 2^{4}\cdot11^{3} $$Explanation
Prime factorization can be nicely visualized by creating a factorization tree.
| 21296 can be written as 2 × 10648. |
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| 10648 can be written as 2 × 5324. |
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| 5324 can be written as 2 × 2662. |
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| 2662 can be written as 2 × 1331. |
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| 1331 can be written as 11 × 121. |
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| 121 can be written as 11 × 11. |
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| The end nodes are the prime factors of the number 21296. |
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