Question
Find the prime factorization of number 1314.
Answer
The prime factorization of 1314 is:
$$ 1314 = 2\cdot3\cdot3\cdot73 $$Which is the same as :
$$ 1314 = 2\cdot3^{2}\cdot73 $$Explanation
Prime factorization can be nicely visualized by creating a factorization tree.
| 1314 can be written as 2 × 657. |
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| 657 can be written as 3 × 219. |
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| 219 can be written as 3 × 73. |
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| The end nodes are the prime factors of the number 1314. |
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