Question
Find the prime factorization of number 78912.
Answer
The prime factorization of 78912 is:
$$ 78912 = 2\cdot2\cdot2\cdot2\cdot2\cdot2\cdot3\cdot3\cdot137 $$Which is the same as :
$$ 78912 = 2^{6}\cdot3^{2}\cdot137 $$Explanation
Prime factorization can be nicely visualized by creating a factorization tree.
| 78912 can be written as 2 × 39456. |
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| 39456 can be written as 2 × 19728. |
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| 19728 can be written as 2 × 9864. |
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| 9864 can be written as 2 × 4932. |
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| 4932 can be written as 2 × 2466. |
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| 2466 can be written as 2 × 1233. |
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| 1233 can be written as 3 × 411. |
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| 411 can be written as 3 × 137. |
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| The end nodes are the prime factors of the number 78912. |
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