Question
Find the prime factorization of number 253704.
Answer
The prime factorization of 253704 is:
$$ 253704 = 2\cdot2\cdot2\cdot3\cdot11\cdot31\cdot31 $$Which is the same as :
$$ 253704 = 2^{3}\cdot3\cdot11\cdot31^{2} $$Explanation
Prime factorization can be nicely visualized by creating a factorization tree.
| 253704 can be written as 2 × 126852. |
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| 126852 can be written as 2 × 63426. |
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| 63426 can be written as 2 × 31713. |
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| 31713 can be written as 3 × 10571. |
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| 10571 can be written as 11 × 961. |
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| 961 can be written as 31 × 31. |
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| The end nodes are the prime factors of the number 253704. |
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