let n [>1] be a composite natural number whose square root is not an integer. consider the following statements:
1. n has a factor which is greater than 1 but less than the square root of n
2. n has a factor which is greater than the square root of n but less than n
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Step-by-step explanation:
Both 1 and 2. Since n is a composite number, it must have at least two factors other than 1 and itself. If one of these factors is less than the square root of n, then the other factor must be greater than the square root of n. Therefore, both statements 1 and 2 are correct.
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