Question
Find the prime factorization of number 3192.
Answer
The prime factorization of 3192 is:
$$ 3192 = 2\cdot2\cdot2\cdot3\cdot7\cdot19 $$Which is the same as :
$$ 3192 = 2^{3}\cdot3\cdot7\cdot19 $$Explanation
Prime factorization can be nicely visualized by creating a factorization tree.
| 3192 can be written as 2 × 1596. |
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| 1596 can be written as 2 × 798. |
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| 798 can be written as 2 × 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 3192. |
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