Question
Find the prime factorization of number 53268.
Answer
The prime factorization of 53268 is:
$$ 53268 = 2\cdot2\cdot3\cdot23\cdot193 $$Which is the same as :
$$ 53268 = 2^{2}\cdot3\cdot23\cdot193 $$Explanation
Prime factorization can be nicely visualized by creating a factorization tree.
| 53268 can be written as 2 × 26634. |
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| 26634 can be written as 2 × 13317. |
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| 13317 can be written as 3 × 4439. |
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| 4439 can be written as 23 × 193. |
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| The end nodes are the prime factors of the number 53268. |
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