Question
Find the prime factorization of number 33728.
Answer
The prime factorization of 33728 is:
$$ 33728 = 2\cdot2\cdot2\cdot2\cdot2\cdot2\cdot17\cdot31 $$Which is the same as :
$$ 33728 = 2^{6}\cdot17\cdot31 $$Explanation
Prime factorization can be nicely visualized by creating a factorization tree.
| 33728 can be written as 2 × 16864. |
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| 16864 can be written as 2 × 8432. |
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| 8432 can be written as 2 × 4216. |
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| 4216 can be written as 2 × 2108. |
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| 2108 can be written as 2 × 1054. |
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| 1054 can be written as 2 × 527. |
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| 527 can be written as 17 × 31. |
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| The end nodes are the prime factors of the number 33728. |
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