Question
Find the prime factorization of number 12321.
Answer
The prime factorization of 12321 is:
$$ 12321 = 3\cdot3\cdot37\cdot37 $$Which is the same as :
$$ 12321 = 3^{2}\cdot37^{2} $$Explanation
Prime factorization can be nicely visualized by creating a factorization tree.
| 12321 can be written as 3 × 4107. |
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| 4107 can be written as 3 × 1369. |
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| 1369 can be written as 37 × 37. |
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| The end nodes are the prime factors of the number 12321. |
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