Find the prime factorization of number 25824.
Answer
The prime factorization of 25824 is:
$$ 25824 = 2\cdot2\cdot2\cdot2\cdot2\cdot3\cdot269 $$Which is the same as :
$$ 25824 = 2^{5}\cdot3\cdot269 $$Explanation
Prime factorization can be nicely visualized by creating a factorization tree.
| 25824 can be written as 2 × 12912. |
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| 12912 can be written as 2 × 6456. |
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| 6456 can be written as 2 × 3228. |
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| 3228 can be written as 2 × 1614. |
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| 1614 can be written as 2 × 807. |
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| 807 can be written as 3 × 269. |
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| The end nodes are the prime factors of the number 25824. |
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