Question
Find the prime factorization of number 111100.
Answer
The prime factorization of 111100 is:
$$ 111100 = 2\cdot2\cdot5\cdot5\cdot11\cdot101 $$Which is the same as :
$$ 111100 = 2^{2}\cdot5^{2}\cdot11\cdot101 $$Explanation
Prime factorization can be nicely visualized by creating a factorization tree.
| 111100 can be written as 10 × 11110. |
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| 10 can be written as 2 × 5. |
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| 11110 can be written as 10 × 1111. |
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| 10 can be written as 2 × 5. |
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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 111100. |
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