Question
Find the prime factorization of number 221664.
Answer
The prime factorization of 221664 is:
$$ 221664 = 2\cdot2\cdot2\cdot2\cdot2\cdot3\cdot2309 $$Which is the same as :
$$ 221664 = 2^{5}\cdot3\cdot2309 $$Explanation
Prime factorization can be nicely visualized by creating a factorization tree.
| 221664 can be written as 2 × 110832. |
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| 110832 can be written as 2 × 55416. |
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| 55416 can be written as 2 × 27708. |
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| 27708 can be written as 2 × 13854. |
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| 13854 can be written as 2 × 6927. |
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| 6927 can be written as 3 × 2309. |
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| The end nodes are the prime factors of the number 221664. |
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