Find the prime factorization of number 27830.
Answer
The prime factorization of 27830 is:
$$ 27830 = 2\cdot5\cdot11\cdot11\cdot23 $$Which is the same as :
$$ 27830 = 2\cdot5\cdot11^{2}\cdot23 $$Explanation
Prime factorization can be nicely visualized by creating a factorization tree.
| 27830 can be written as 10 × 2783. |
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| 10 can be written as 2 × 5. |
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| 2783 can be written as 11 × 253. |
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| 253 can be written as 11 × 23. |
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| The end nodes are the prime factors of the number 27830. |
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