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Earn +20 ptsQ: What is the smallest possible positive integer?
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Why is the smallest positive integer is larger than the largest negative integer?
The smallest positive integer is 1. The largest negative integer is -1. 1 > -1
What is the smallest positive integer with 14 positive divisors?
It is 192.
What is the smallest factor of a number?
The smallest positive factor of any positive integer is the number 1. If negative factors are allowed, the smallest factor is the negative of the absolute value of any integer.
What is the prime factorization of the smallest positive integer that has exactly 31 factors?
230
What is the greatest possible length of a positive integer less that 1000?
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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