Question
Find the prime factorization of number 414.
Answer
The prime factorization of 414 is:
$$ 414 = 2\cdot3\cdot3\cdot23 $$Which is the same as :
$$ 414 = 2\cdot3^{2}\cdot23 $$Explanation
Prime factorization can be nicely visualized by creating a factorization tree.
| 414 can be written as 2 × 207. |
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| 207 can be written as 3 × 69. |
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| 69 can be written as 3 × 23. |
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| The end nodes are the prime factors of the number 414. |
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