Find the prime factorization of number 3584.
Answer
The prime factorization of 3584 is:
$$ 3584 = 2\cdot2\cdot2\cdot2\cdot2\cdot2\cdot2\cdot2\cdot2\cdot7 $$Which is the same as :
$$ 3584 = 2^{9}\cdot7 $$Explanation
Prime factorization can be nicely visualized by creating a factorization tree.
| 3584 can be written as 2 × 1792. |
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| 1792 can be written as 2 × 896. |
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| 896 can be written as 2 × 448. |
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| 448 can be written as 2 × 224. |
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| 224 can be written as 2 × 112. |
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| 112 can be written as 2 × 56. |
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| 56 can be written as 2 × 28. |
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| 28 can be written as 2 × 14. |
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| 14 can be written as 2 × 7. |
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| The end nodes are the prime factors of the number 3584. |
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