Question
Find the prime factorization of number 30756.
Answer
The prime factorization of 30756 is:
$$ 30756 = 2\cdot2\cdot3\cdot11\cdot233 $$Which is the same as :
$$ 30756 = 2^{2}\cdot3\cdot11\cdot233 $$Explanation
Prime factorization can be nicely visualized by creating a factorization tree.
| 30756 can be written as 2 × 15378. |
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| 15378 can be written as 2 × 7689. |
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| 7689 can be written as 3 × 2563. |
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| 2563 can be written as 11 × 233. |
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| The end nodes are the prime factors of the number 30756. |
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