Question
Find the prime factorization of number 4144.
Answer
The prime factorization of 4144 is:
$$ 4144 = 2\cdot2\cdot2\cdot2\cdot7\cdot37 $$Which is the same as :
$$ 4144 = 2^{4}\cdot7\cdot37 $$Explanation
Prime factorization can be nicely visualized by creating a factorization tree.
| 4144 can be written as 2 × 2072. |
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| 2072 can be written as 2 × 1036. |
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| 1036 can be written as 2 × 518. |
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| 518 can be written as 2 × 259. |
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| 259 can be written as 7 × 37. |
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| The end nodes are the prime factors of the number 4144. |
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