Question
Find the prime factorization of number 26064.
Answer
The prime factorization of 26064 is:
$$ 26064 = 2\cdot2\cdot2\cdot2\cdot3\cdot3\cdot181 $$Which is the same as :
$$ 26064 = 2^{4}\cdot3^{2}\cdot181 $$Explanation
Prime factorization can be nicely visualized by creating a factorization tree.
| 26064 can be written as 2 × 13032. |
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| 13032 can be written as 2 × 6516. |
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| 6516 can be written as 2 × 3258. |
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| 3258 can be written as 2 × 1629. |
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| 1629 can be written as 3 × 543. |
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| 543 can be written as 3 × 181. |
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| The end nodes are the prime factors of the number 26064. |
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