Question
Find the prime factorization of number 26453952.
Answer
The prime factorization of 26453952 is:
$$ 26453952 = 2\cdot2\cdot2\cdot2\cdot2\cdot2\cdot3\cdot3\cdot3\cdot3\cdot3\cdot3\cdot3\cdot3\cdot3\cdot3\cdot7 $$Which is the same as :
$$ 26453952 = 2^{6}\cdot3^{10}\cdot7 $$Explanation
Prime factorization can be nicely visualized by creating a factorization tree.
| 26453952 can be written as 2 × 13226976. |
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| 13226976 can be written as 2 × 6613488. |
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| 6613488 can be written as 2 × 3306744. |
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| 3306744 can be written as 2 × 1653372. |
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| 1653372 can be written as 2 × 826686. |
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| 826686 can be written as 2 × 413343. |
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| 413343 can be written as 3 × 137781. |
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| 137781 can be written as 3 × 45927. |
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| 45927 can be written as 3 × 15309. |
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| 15309 can be written as 3 × 5103. |
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| 5103 can be written as 3 × 1701. |
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| 1701 can be written as 3 × 567. |
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| 567 can be written as 3 × 189. |
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| 189 can be written as 3 × 63. |
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| 63 can be written as 3 × 21. |
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| 21 can be written as 3 × 7. |
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| The end nodes are the prime factors of the number 26453952. |
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