Question
Find the prime factorization of number 2144.
Answer
The prime factorization of 2144 is:
$$ 2144 = 2\cdot2\cdot2\cdot2\cdot2\cdot67 $$Which is the same as :
$$ 2144 = 2^{5}\cdot67 $$Explanation
Prime factorization can be nicely visualized by creating a factorization tree.
| 2144 can be written as 2 × 1072. |
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| 1072 can be written as 2 × 536. |
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| 536 can be written as 2 × 268. |
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| 268 can be written as 2 × 134. |
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| 134 can be written as 2 × 67. |
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| The end nodes are the prime factors of the number 2144. |
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