Question
Find the prime factorization of number 261533584.
Answer
The prime factorization of 261533584 is:
$$ 261533584 = 2\cdot2\cdot2\cdot2\cdot13\cdot13\cdot311\cdot311 $$Which is the same as :
$$ 261533584 = 2^{4}\cdot13^{2}\cdot311^{2} $$Explanation
Prime factorization can be nicely visualized by creating a factorization tree.
| 261533584 can be written as 2 × 130766792. |
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| 130766792 can be written as 2 × 65383396. |
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| 65383396 can be written as 2 × 32691698. |
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| 32691698 can be written as 2 × 16345849. |
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| 16345849 can be written as 13 × 1257373. |
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| 1257373 can be written as 13 × 96721. |
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| 96721 can be written as 311 × 311. |
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| The end nodes are the prime factors of the number 261533584. |
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