Question
Find the prime factorization of number 30912.
Answer
The prime factorization of 30912 is:
$$ 30912 = 2\cdot2\cdot2\cdot2\cdot2\cdot2\cdot3\cdot7\cdot23 $$Which is the same as :
$$ 30912 = 2^{6}\cdot3\cdot7\cdot23 $$Explanation
Prime factorization can be nicely visualized by creating a factorization tree.
| 30912 can be written as 2 × 15456. |
|
| 15456 can be written as 2 × 7728. |
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| 7728 can be written as 2 × 3864. |
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| 3864 can be written as 2 × 1932. |
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| 1932 can be written as 2 × 966. |
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| 966 can be written as 2 × 483. |
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| 483 can be written as 3 × 161. |
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| 161 can be written as 7 × 23. |
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| The end nodes are the prime factors of the number 30912. |
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