Question
Find the prime factorization of number 33600.
Answer
The prime factorization of 33600 is:
$$ 33600 = 2\cdot2\cdot2\cdot2\cdot2\cdot2\cdot3\cdot5\cdot5\cdot7 $$Which is the same as :
$$ 33600 = 2^{6}\cdot3\cdot5^{2}\cdot7 $$Explanation
Prime factorization can be nicely visualized by creating a factorization tree.
| 33600 can be written as 10 × 3360. |
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| 10 can be written as 2 × 5. |
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| 3360 can be written as 10 × 336. |
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| 10 can be written as 2 × 5. |
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| 336 can be written as 2 × 168. |
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| 168 can be written as 2 × 84. |
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| 84 can be written as 2 × 42. |
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| 42 can be written as 2 × 21. |
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| 21 can be written as 3 × 7. |
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| The end nodes are the prime factors of the number 33600. |
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