Question
Find the prime factorization of number 26136.
Answer
The prime factorization of 26136 is:
$$ 26136 = 2\cdot2\cdot2\cdot3\cdot3\cdot3\cdot11\cdot11 $$Which is the same as :
$$ 26136 = 2^{3}\cdot3^{3}\cdot11^{2} $$Explanation
Prime factorization can be nicely visualized by creating a factorization tree.
| 26136 can be written as 2 × 13068. |
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| 13068 can be written as 2 × 6534. |
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| 6534 can be written as 2 × 3267. |
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| 3267 can be written as 3 × 1089. |
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| 1089 can be written as 3 × 363. |
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| 363 can be written as 3 × 121. |
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| 121 can be written as 11 × 11. |
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| The end nodes are the prime factors of the number 26136. |
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