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The greatest possible 'length' comes from the number with the greatest number of prime factors. The greatest number of factors is created by using the smallest Prime number, 2, as a factor as many times as possible. Since 2^9=512 and 2^10=1024, the greatest possible 'length' of a positive integer less than 1000 is 9.

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โˆ™ 2008-12-12 20:39:48
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Q: What is the greatest possible length of a positive integer less that 1000?
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