Question
Find the prime factorization of number 293764.
Answer
The prime factorization of 293764 is:
$$ 293764 = 2\cdot2\cdot271\cdot271 $$Which is the same as :
$$ 293764 = 2^{2}\cdot271^{2} $$Explanation
Prime factorization can be nicely visualized by creating a factorization tree.
| 293764 can be written as 2 × 146882. |
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| 146882 can be written as 2 × 73441. |
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| 73441 can be written as 271 × 271. |
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| The end nodes are the prime factors of the number 293764. |
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