Question
Find the prime factorization of number 264264.
Answer
The prime factorization of 264264 is:
$$ 264264 = 2\cdot2\cdot2\cdot3\cdot7\cdot11\cdot11\cdot13 $$Which is the same as :
$$ 264264 = 2^{3}\cdot3\cdot7\cdot11^{2}\cdot13 $$Explanation
Prime factorization can be nicely visualized by creating a factorization tree.
| 264264 can be written as 2 × 132132. |
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| 132132 can be written as 2 × 66066. |
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| 66066 can be written as 2 × 33033. |
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| 33033 can be written as 3 × 11011. |
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| 11011 can be written as 7 × 1573. |
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| 1573 can be written as 11 × 143. |
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| 143 can be written as 11 × 13. |
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| The end nodes are the prime factors of the number 264264. |
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