The prime factorization of 6666 is:
$$ 6666 = 2\cdot3\cdot11\cdot101 $$Prime factorization can be nicely visualized by creating a factorization tree.
| 6666 can be written as 2 × 3333. |
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| 3333 can be written as 3 × 1111. |
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| 1111 can be written as 11 × 101. |
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| The end nodes are the prime factors of the number 6666. |
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