Find the prime factorization of number 19845.
Answer
The prime factorization of 19845 is:
$$ 19845 = 3\cdot3\cdot3\cdot3\cdot5\cdot7\cdot7 $$Which is the same as :
$$ 19845 = 3^{4}\cdot5\cdot7^{2} $$Explanation
Prime factorization can be nicely visualized by creating a factorization tree.
| 19845 can be written as 5 × 3969. |
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| 3969 can be written as 3 × 1323. |
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| 1323 can be written as 3 × 441. |
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| 441 can be written as 3 × 147. |
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| 147 can be written as 3 × 49. |
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| 49 can be written as 7 × 7. |
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| The end nodes are the prime factors of the number 19845. |
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