Find the prime factorization of number 8836.
Answer
The prime factorization of 8836 is:
$$ 8836 = 2\cdot2\cdot47\cdot47 $$Which is the same as :
$$ 8836 = 2^{2}\cdot47^{2} $$Explanation
Prime factorization can be nicely visualized by creating a factorization tree.
| 8836 can be written as 2 × 4418. |
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| 4418 can be written as 2 × 2209. |
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| 2209 can be written as 47 × 47. |
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| The end nodes are the prime factors of the number 8836. |
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