Question
Find the prime factorization of number 8328.
Answer
The prime factorization of 8328 is:
$$ 8328 = 2\cdot2\cdot2\cdot3\cdot347 $$Which is the same as :
$$ 8328 = 2^{3}\cdot3\cdot347 $$Explanation
Prime factorization can be nicely visualized by creating a factorization tree.
| 8328 can be written as 2 × 4164. |
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| 4164 can be written as 2 × 2082. |
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| 2082 can be written as 2 × 1041. |
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| 1041 can be written as 3 × 347. |
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| The end nodes are the prime factors of the number 8328. |
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