Question
Find the prime factorization of number 30768.
Answer
The prime factorization of 30768 is:
$$ 30768 = 2\cdot2\cdot2\cdot2\cdot3\cdot641 $$Which is the same as :
$$ 30768 = 2^{4}\cdot3\cdot641 $$Explanation
Prime factorization can be nicely visualized by creating a factorization tree.
| 30768 can be written as 2 × 15384. |
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| 15384 can be written as 2 × 7692. |
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| 7692 can be written as 2 × 3846. |
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| 3846 can be written as 2 × 1923. |
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| 1923 can be written as 3 × 641. |
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| The end nodes are the prime factors of the number 30768. |
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