Question
Find the prime factorization of number 1197.
Answer
The prime factorization of 1197 is:
$$ 1197 = 3\cdot3\cdot7\cdot19 $$Which is the same as :
$$ 1197 = 3^{2}\cdot7\cdot19 $$Explanation
Prime factorization can be nicely visualized by creating a factorization tree.
| 1197 can be written as 3 × 399. |
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| 399 can be written as 3 × 133. |
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| 133 can be written as 7 × 19. |
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| The end nodes are the prime factors of the number 1197. |
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