Question
Find the prime factorization of number 14994.
Answer
The prime factorization of 14994 is:
$$ 14994 = 2\cdot3\cdot3\cdot7\cdot7\cdot17 $$Which is the same as :
$$ 14994 = 2\cdot3^{2}\cdot7^{2}\cdot17 $$Explanation
Prime factorization can be nicely visualized by creating a factorization tree.
| 14994 can be written as 2 × 7497. |
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| 7497 can be written as 3 × 2499. |
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| 2499 can be written as 3 × 833. |
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| 833 can be written as 7 × 119. |
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| 119 can be written as 7 × 17. |
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| The end nodes are the prime factors of the number 14994. |
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