Question
Find the prime factorization of number 255780.
Answer
The prime factorization of 255780 is:
$$ 255780 = 2\cdot2\cdot3\cdot3\cdot5\cdot7\cdot7\cdot29 $$Which is the same as :
$$ 255780 = 2^{2}\cdot3^{2}\cdot5\cdot7^{2}\cdot29 $$Explanation
Prime factorization can be nicely visualized by creating a factorization tree.
| 255780 can be written as 10 × 25578. |
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| 10 can be written as 2 × 5. |
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| 25578 can be written as 2 × 12789. |
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| 12789 can be written as 3 × 4263. |
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| 4263 can be written as 3 × 1421. |
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| 1421 can be written as 7 × 203. |
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| 203 can be written as 7 × 29. |
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| The end nodes are the prime factors of the number 255780. |
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