Question
Find the prime factorization of number 30294.
Answer
The prime factorization of 30294 is:
$$ 30294 = 2\cdot3\cdot3\cdot3\cdot3\cdot11\cdot17 $$Which is the same as :
$$ 30294 = 2\cdot3^{4}\cdot11\cdot17 $$Explanation
Prime factorization can be nicely visualized by creating a factorization tree.
| 30294 can be written as 2 × 15147. |
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| 15147 can be written as 3 × 5049. |
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| 5049 can be written as 3 × 1683. |
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| 1683 can be written as 3 × 561. |
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| 561 can be written as 3 × 187. |
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| 187 can be written as 11 × 17. |
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| The end nodes are the prime factors of the number 30294. |
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