Question
Find the prime factorization of number 8172.
Answer
The prime factorization of 8172 is:
$$ 8172 = 2\cdot2\cdot3\cdot3\cdot227 $$Which is the same as :
$$ 8172 = 2^{2}\cdot3^{2}\cdot227 $$Explanation
Prime factorization can be nicely visualized by creating a factorization tree.
| 8172 can be written as 2 × 4086. |
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| 4086 can be written as 2 × 2043. |
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| 2043 can be written as 3 × 681. |
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| 681 can be written as 3 × 227. |
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| The end nodes are the prime factors of the number 8172. |
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