Question
Find the prime factorization of number 8888.
Answer
The prime factorization of 8888 is:
$$ 8888 = 2\cdot2\cdot2\cdot11\cdot101 $$Which is the same as :
$$ 8888 = 2^{3}\cdot11\cdot101 $$Explanation
Prime factorization can be nicely visualized by creating a factorization tree.
| 8888 can be written as 2 × 4444. |
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| 4444 can be written as 2 × 2222. |
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| 2222 can be written as 2 × 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 8888. |
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