Question
Find the prime factorization of number 8964.
Answer
The prime factorization of 8964 is:
$$ 8964 = 2\cdot2\cdot3\cdot3\cdot3\cdot83 $$Which is the same as :
$$ 8964 = 2^{2}\cdot3^{3}\cdot83 $$Explanation
Prime factorization can be nicely visualized by creating a factorization tree.
| 8964 can be written as 2 × 4482. |
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| 4482 can be written as 2 × 2241. |
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| 2241 can be written as 3 × 747. |
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| 747 can be written as 3 × 249. |
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| 249 can be written as 3 × 83. |
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| The end nodes are the prime factors of the number 8964. |
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