Question
Find the prime factorization of number 22869.
Answer
The prime factorization of 22869 is:
$$ 22869 = 3\cdot3\cdot3\cdot7\cdot11\cdot11 $$Which is the same as :
$$ 22869 = 3^{3}\cdot7\cdot11^{2} $$Explanation
Prime factorization can be nicely visualized by creating a factorization tree.
| 22869 can be written as 3 × 7623. |
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| 7623 can be written as 3 × 2541. |
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| 2541 can be written as 3 × 847. |
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| 847 can be written as 7 × 121. |
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| 121 can be written as 11 × 11. |
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| The end nodes are the prime factors of the number 22869. |
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