Question
Find the prime factorization of number 54756.
Answer
The prime factorization of 54756 is:
$$ 54756 = 2\cdot2\cdot3\cdot3\cdot3\cdot3\cdot13\cdot13 $$Which is the same as :
$$ 54756 = 2^{2}\cdot3^{4}\cdot13^{2} $$Explanation
Prime factorization can be nicely visualized by creating a factorization tree.
| 54756 can be written as 2 × 27378. |
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| 27378 can be written as 2 × 13689. |
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| 13689 can be written as 3 × 4563. |
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| 4563 can be written as 3 × 1521. |
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| 1521 can be written as 3 × 507. |
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| 507 can be written as 3 × 169. |
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| 169 can be written as 13 × 13. |
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| The end nodes are the prime factors of the number 54756. |
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