Question
Find the prime factorization of number 66852.
Answer
The prime factorization of 66852 is:
$$ 66852 = 2\cdot2\cdot3\cdot3\cdot3\cdot619 $$Which is the same as :
$$ 66852 = 2^{2}\cdot3^{3}\cdot619 $$Explanation
Prime factorization can be nicely visualized by creating a factorization tree.
| 66852 can be written as 2 × 33426. |
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| 33426 can be written as 2 × 16713. |
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| 16713 can be written as 3 × 5571. |
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| 5571 can be written as 3 × 1857. |
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| 1857 can be written as 3 × 619. |
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| The end nodes are the prime factors of the number 66852. |
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