Find the prime factorization of number 162.
Answer
The prime factorization of 162 is:
$$ 162 = 2\cdot3\cdot3\cdot3\cdot3 $$Which is the same as :
$$ 162 = 2\cdot3^{4} $$Explanation
Prime factorization can be nicely visualized by creating a factorization tree.
| 162 can be written as 2 × 81. |
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| 81 can be written as 3 × 27. |
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| 27 can be written as 3 × 9. |
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| 9 can be written as 3 × 3. |
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| The end nodes are the prime factors of the number 162. |
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