Question
Find the prime factorization of number 5440.
Answer
The prime factorization of 5440 is:
$$ 5440 = 2\cdot2\cdot2\cdot2\cdot2\cdot2\cdot5\cdot17 $$Which is the same as :
$$ 5440 = 2^{6}\cdot5\cdot17 $$Explanation
Prime factorization can be nicely visualized by creating a factorization tree.
| 5440 can be written as 10 × 544. |
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| 10 can be written as 2 × 5. |
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| 544 can be written as 2 × 272. |
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| 272 can be written as 2 × 136. |
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| 136 can be written as 2 × 68. |
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| 68 can be written as 2 × 34. |
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| 34 can be written as 2 × 17. |
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| The end nodes are the prime factors of the number 5440. |
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