Question
Find the prime factorization of number 30656.
Answer
The prime factorization of 30656 is:
$$ 30656 = 2\cdot2\cdot2\cdot2\cdot2\cdot2\cdot479 $$Which is the same as :
$$ 30656 = 2^{6}\cdot479 $$Explanation
Prime factorization can be nicely visualized by creating a factorization tree.
| 30656 can be written as 2 × 15328. |
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| 15328 can be written as 2 × 7664. |
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| 7664 can be written as 2 × 3832. |
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| 3832 can be written as 2 × 1916. |
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| 1916 can be written as 2 × 958. |
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| 958 can be written as 2 × 479. |
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| The end nodes are the prime factors of the number 30656. |
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