Question
Find the prime factorization of number 59052.
Answer
The prime factorization of 59052 is:
$$ 59052 = 2\cdot2\cdot3\cdot7\cdot19\cdot37 $$Which is the same as :
$$ 59052 = 2^{2}\cdot3\cdot7\cdot19\cdot37 $$Explanation
Prime factorization can be nicely visualized by creating a factorization tree.
| 59052 can be written as 2 × 29526. |
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| 29526 can be written as 2 × 14763. |
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| 14763 can be written as 3 × 4921. |
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| 4921 can be written as 7 × 703. |
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| 703 can be written as 19 × 37. |
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| The end nodes are the prime factors of the number 59052. |
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