Question
Find the prime factorization of number 30762.
Answer
The prime factorization of 30762 is:
$$ 30762 = 2\cdot3\cdot3\cdot1709 $$Which is the same as :
$$ 30762 = 2\cdot3^{2}\cdot1709 $$Explanation
Prime factorization can be nicely visualized by creating a factorization tree.
| 30762 can be written as 2 × 15381. |
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| 15381 can be written as 3 × 5127. |
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| 5127 can be written as 3 × 1709. |
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| The end nodes are the prime factors of the number 30762. |
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