Question
Find the prime factorization of number 65328.
Answer
The prime factorization of 65328 is:
$$ 65328 = 2\cdot2\cdot2\cdot2\cdot3\cdot1361 $$Which is the same as :
$$ 65328 = 2^{4}\cdot3\cdot1361 $$Explanation
Prime factorization can be nicely visualized by creating a factorization tree.
| 65328 can be written as 2 × 32664. |
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| 32664 can be written as 2 × 16332. |
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| 16332 can be written as 2 × 8166. |
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| 8166 can be written as 2 × 4083. |
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| 4083 can be written as 3 × 1361. |
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| The end nodes are the prime factors of the number 65328. |
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