Question
Find the prime factorization of number 66528.
Answer
The prime factorization of 66528 is:
$$ 66528 = 2\cdot2\cdot2\cdot2\cdot2\cdot3\cdot3\cdot3\cdot7\cdot11 $$Which is the same as :
$$ 66528 = 2^{5}\cdot3^{3}\cdot7\cdot11 $$Explanation
Prime factorization can be nicely visualized by creating a factorization tree.
| 66528 can be written as 2 × 33264. |
|
| 33264 can be written as 2 × 16632. |
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| 16632 can be written as 2 × 8316. |
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| 8316 can be written as 2 × 4158. |
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| 4158 can be written as 2 × 2079. |
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| 2079 can be written as 3 × 693. |
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| 693 can be written as 3 × 231. |
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| 231 can be written as 3 × 77. |
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| 77 can be written as 7 × 11. |
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| The end nodes are the prime factors of the number 66528. |
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