Question
Find the prime factorization of number 30861.
Answer
The prime factorization of 30861 is:
$$ 30861 = 3\cdot3\cdot3\cdot3\cdot3\cdot127 $$Which is the same as :
$$ 30861 = 3^{5}\cdot127 $$Explanation
Prime factorization can be nicely visualized by creating a factorization tree.
| 30861 can be written as 3 × 10287. |
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| 10287 can be written as 3 × 3429. |
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| 3429 can be written as 3 × 1143. |
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| 1143 can be written as 3 × 381. |
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| 381 can be written as 3 × 127. |
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| The end nodes are the prime factors of the number 30861. |
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