Yes, all negative whole numbers, including -13, are integers.
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No. "Integer" means "whole number". Get rid of that piece hanging there
after the decimal point and you'll have an integer.
-13 is rational and an integer.
No - an integer is a whole number - the closest integers to 12.5 are 12 and 13.
13.
13 is an integer and so the answer is 13 months, or k*13/k moths where k is any non-zero integer. There is nothing in the question requiring the measurement unit to be changed and, in any case, the answer would depend on whether the unspecified unit was a week or a year (or something else).
The positive integer factors of 273 are:1, 3, 7, 13, 21, 39, 91, 2731,3 7,13,21,39,91,273