Question
Find the prime factorization of number 7252.
Answer
The prime factorization of 7252 is:
$$ 7252 = 2\cdot2\cdot7\cdot7\cdot37 $$Which is the same as :
$$ 7252 = 2^{2}\cdot7^{2}\cdot37 $$Explanation
Prime factorization can be nicely visualized by creating a factorization tree.
| 7252 can be written as 2 × 3626. |
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| 3626 can be written as 2 × 1813. |
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| 1813 can be written as 7 × 259. |
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| 259 can be written as 7 × 37. |
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| The end nodes are the prime factors of the number 7252. |
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