Question
Find the prime factorization of number 30688.
Answer
The prime factorization of 30688 is:
$$ 30688 = 2\cdot2\cdot2\cdot2\cdot2\cdot7\cdot137 $$Which is the same as :
$$ 30688 = 2^{5}\cdot7\cdot137 $$Explanation
Prime factorization can be nicely visualized by creating a factorization tree.
| 30688 can be written as 2 × 15344. |
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| 15344 can be written as 2 × 7672. |
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| 7672 can be written as 2 × 3836. |
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| 3836 can be written as 2 × 1918. |
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| 1918 can be written as 2 × 959. |
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| 959 can be written as 7 × 137. |
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| The end nodes are the prime factors of the number 30688. |
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