Question
Find the prime factorization of number 16146.
Answer
The prime factorization of 16146 is:
$$ 16146 = 2\cdot3\cdot3\cdot3\cdot13\cdot23 $$Which is the same as :
$$ 16146 = 2\cdot3^{3}\cdot13\cdot23 $$Explanation
Prime factorization can be nicely visualized by creating a factorization tree.
| 16146 can be written as 2 × 8073. |
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| 8073 can be written as 3 × 2691. |
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| 2691 can be written as 3 × 897. |
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| 897 can be written as 3 × 299. |
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| 299 can be written as 13 × 23. |
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| The end nodes are the prime factors of the number 16146. |
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