Question
Find the prime factorization of number 24512.
Answer
The prime factorization of 24512 is:
$$ 24512 = 2\cdot2\cdot2\cdot2\cdot2\cdot2\cdot383 $$Which is the same as :
$$ 24512 = 2^{6}\cdot383 $$Explanation
Prime factorization can be nicely visualized by creating a factorization tree.
| 24512 can be written as 2 × 12256. |
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| 12256 can be written as 2 × 6128. |
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| 6128 can be written as 2 × 3064. |
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| 3064 can be written as 2 × 1532. |
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| 1532 can be written as 2 × 766. |
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| 766 can be written as 2 × 383. |
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| The end nodes are the prime factors of the number 24512. |
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