Question
Find the prime factorization of number 26176.
Answer
The prime factorization of 26176 is:
$$ 26176 = 2\cdot2\cdot2\cdot2\cdot2\cdot2\cdot409 $$Which is the same as :
$$ 26176 = 2^{6}\cdot409 $$Explanation
Prime factorization can be nicely visualized by creating a factorization tree.
| 26176 can be written as 2 × 13088. |
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| 13088 can be written as 2 × 6544. |
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| 6544 can be written as 2 × 3272. |
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| 3272 can be written as 2 × 1636. |
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| 1636 can be written as 2 × 818. |
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| 818 can be written as 2 × 409. |
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| The end nodes are the prime factors of the number 26176. |
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