Question
Find the prime factorization of number 30546.
Answer
The prime factorization of 30546 is:
$$ 30546 = 2\cdot3\cdot3\cdot1697 $$Which is the same as :
$$ 30546 = 2\cdot3^{2}\cdot1697 $$Explanation
Prime factorization can be nicely visualized by creating a factorization tree.
| 30546 can be written as 2 × 15273. |
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| 15273 can be written as 3 × 5091. |
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| 5091 can be written as 3 × 1697. |
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| The end nodes are the prime factors of the number 30546. |
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