Question
Find the prime factorization of number 30792.
Answer
The prime factorization of 30792 is:
$$ 30792 = 2\cdot2\cdot2\cdot3\cdot1283 $$Which is the same as :
$$ 30792 = 2^{3}\cdot3\cdot1283 $$Explanation
Prime factorization can be nicely visualized by creating a factorization tree.
| 30792 can be written as 2 × 15396. |
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| 15396 can be written as 2 × 7698. |
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| 7698 can be written as 2 × 3849. |
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| 3849 can be written as 3 × 1283. |
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| The end nodes are the prime factors of the number 30792. |
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