Recall that an integer 'd' is said to be a divisor of an integer 'a', if 'a/d' is also an integer. for how many integers 'a' between -200 and -1 inclusive is the product of the divisors of a negative?

The integers are -1,-2,-4,-5,-8,-10,-20,-25,-40,-50,-100,-200

Step-by-step explanation:

Step1. To get negative integers between -200 and -1, obtain the factors of -200,that is negative numbers that can divide -200 without a remainder. Whatever negative number that can divide -200 are the required integers.

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sitting on a chair

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