Question
Find the prime factorization of number 10952.
Answer
The prime factorization of 10952 is:
$$ 10952 = 2\cdot2\cdot2\cdot37\cdot37 $$Which is the same as :
$$ 10952 = 2^{3}\cdot37^{2} $$Explanation
Prime factorization can be nicely visualized by creating a factorization tree.
| 10952 can be written as 2 × 5476. |
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| 5476 can be written as 2 × 2738. |
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| 2738 can be written as 2 × 1369. |
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| 1369 can be written as 37 × 37. |
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| The end nodes are the prime factors of the number 10952. |
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