Respuesta :
Answer:
Step-by-step explanation:
36=2×2×3×3
factors of 36 are 2,3,4,6,9,12,18,36
when N+2=2,N=0 (0 is neither positive nor negative.)
N+2=3,N=3-2=1
N+2=4,N=4-2=2
N+2=6,N+6-2=4
N+2=9,N=9-2=7
N+2=12
N=12-2=10
N+2=18,N=18-2=16
N+2=36,N=36-2=34
so for 7 positive integer values of N,36/(N+2)is a positive integer.
Since there are 8 factors of 36 hence 8 positive integers are possible for the expression 36/N + 2 to be an integer
- The total number of positive integers needed will be equivalent to all the factors of 36 as shown;
- The factors of 36 are 1, 2, 3, 6, 9, 12, 18, 36. Since there are 8 factors of 36 hence 8 positive integers are possible for the expression 36/N + 2 to be an integer
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