Question
Find the prime factorization of number 54054.
Answer
The prime factorization of 54054 is:
$$ 54054 = 2\cdot3\cdot3\cdot3\cdot7\cdot11\cdot13 $$Which is the same as :
$$ 54054 = 2\cdot3^{3}\cdot7\cdot11\cdot13 $$Explanation
Prime factorization can be nicely visualized by creating a factorization tree.
| 54054 can be written as 2 × 27027. |
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| 27027 can be written as 3 × 9009. |
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| 9009 can be written as 3 × 3003. |
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| 3003 can be written as 3 × 1001. |
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| 1001 can be written as 7 × 143. |
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| 143 can be written as 11 × 13. |
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| The end nodes are the prime factors of the number 54054. |
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