Question
Find the prime factorization of number 1112.
Answer
The prime factorization of 1112 is:
$$ 1112 = 2\cdot2\cdot2\cdot139 $$Which is the same as :
$$ 1112 = 2^{3}\cdot139 $$Explanation
Prime factorization can be nicely visualized by creating a factorization tree.
| 1112 can be written as 2 × 556. |
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| 556 can be written as 2 × 278. |
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| 278 can be written as 2 × 139. |
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| The end nodes are the prime factors of the number 1112. |
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