Question
Find the prime factorization of number 9738.
Answer
The prime factorization of 9738 is:
$$ 9738 = 2\cdot3\cdot3\cdot541 $$Which is the same as :
$$ 9738 = 2\cdot3^{2}\cdot541 $$Explanation
Prime factorization can be nicely visualized by creating a factorization tree.
| 9738 can be written as 2 × 4869. |
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| 4869 can be written as 3 × 1623. |
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| 1623 can be written as 3 × 541. |
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| The end nodes are the prime factors of the number 9738. |
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