Question
Find the prime factorization of number 146097.
Answer
The prime factorization of 146097 is:
$$ 146097 = 3\cdot3\cdot3\cdot7\cdot773 $$Which is the same as :
$$ 146097 = 3^{3}\cdot7\cdot773 $$Explanation
Prime factorization can be nicely visualized by creating a factorization tree.
| 146097 can be written as 3 × 48699. |
|
| 48699 can be written as 3 × 16233. |
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| 16233 can be written as 3 × 5411. |
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| 5411 can be written as 7 × 773. |
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| The end nodes are the prime factors of the number 146097. |
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