Question
Find the prime factorization of number 34496.
Answer
The prime factorization of 34496 is:
$$ 34496 = 2\cdot2\cdot2\cdot2\cdot2\cdot2\cdot7\cdot7\cdot11 $$Which is the same as :
$$ 34496 = 2^{6}\cdot7^{2}\cdot11 $$Explanation
Prime factorization can be nicely visualized by creating a factorization tree.
| 34496 can be written as 2 × 17248. |
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| 17248 can be written as 2 × 8624. |
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| 8624 can be written as 2 × 4312. |
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| 4312 can be written as 2 × 2156. |
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| 2156 can be written as 2 × 1078. |
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| 1078 can be written as 2 × 539. |
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| 539 can be written as 7 × 77. |
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| 77 can be written as 7 × 11. |
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| The end nodes are the prime factors of the number 34496. |
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