Question
Find the prime factorization of number 30876.
Answer
The prime factorization of 30876 is:
$$ 30876 = 2\cdot2\cdot3\cdot31\cdot83 $$Which is the same as :
$$ 30876 = 2^{2}\cdot3\cdot31\cdot83 $$Explanation
Prime factorization can be nicely visualized by creating a factorization tree.
| 30876 can be written as 2 × 15438. |
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| 15438 can be written as 2 × 7719. |
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| 7719 can be written as 3 × 2573. |
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| 2573 can be written as 31 × 83. |
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| The end nodes are the prime factors of the number 30876. |
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