Find the prime factorization of number 25704.
Answer
The prime factorization of 25704 is:
$$ 25704 = 2\cdot2\cdot2\cdot3\cdot3\cdot3\cdot7\cdot17 $$Which is the same as :
$$ 25704 = 2^{3}\cdot3^{3}\cdot7\cdot17 $$Explanation
Prime factorization can be nicely visualized by creating a factorization tree.
| 25704 can be written as 2 × 12852. |
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| 12852 can be written as 2 × 6426. |
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| 6426 can be written as 2 × 3213. |
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| 3213 can be written as 3 × 1071. |
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| 1071 can be written as 3 × 357. |
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| 357 can be written as 3 × 119. |
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| 119 can be written as 7 × 17. |
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| The end nodes are the prime factors of the number 25704. |
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