Question
Find the prime factorization of number 1192.
Answer
The prime factorization of 1192 is:
$$ 1192 = 2\cdot2\cdot2\cdot149 $$Which is the same as :
$$ 1192 = 2^{3}\cdot149 $$Explanation
Prime factorization can be nicely visualized by creating a factorization tree.
| 1192 can be written as 2 × 596. |
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| 596 can be written as 2 × 298. |
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| 298 can be written as 2 × 149. |
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| The end nodes are the prime factors of the number 1192. |
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