Question
Find the prime factorization of number 13704.
Answer
The prime factorization of 13704 is:
$$ 13704 = 2\cdot2\cdot2\cdot3\cdot571 $$Which is the same as :
$$ 13704 = 2^{3}\cdot3\cdot571 $$Explanation
Prime factorization can be nicely visualized by creating a factorization tree.
| 13704 can be written as 2 × 6852. |
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| 6852 can be written as 2 × 3426. |
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| 3426 can be written as 2 × 1713. |
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| 1713 can be written as 3 × 571. |
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| The end nodes are the prime factors of the number 13704. |
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