Question
Find the prime factorization of number 30336.
Answer
The prime factorization of 30336 is:
$$ 30336 = 2\cdot2\cdot2\cdot2\cdot2\cdot2\cdot2\cdot3\cdot79 $$Which is the same as :
$$ 30336 = 2^{7}\cdot3\cdot79 $$Explanation
Prime factorization can be nicely visualized by creating a factorization tree.
| 30336 can be written as 2 × 15168. |
|
| 15168 can be written as 2 × 7584. |
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| 7584 can be written as 2 × 3792. |
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| 3792 can be written as 2 × 1896. |
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| 1896 can be written as 2 × 948. |
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| 948 can be written as 2 × 474. |
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| 474 can be written as 2 × 237. |
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| 237 can be written as 3 × 79. |
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| The end nodes are the prime factors of the number 30336. |
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