Using prime factorization: 2700=22.33.52 =2×2×3×3×3×5×5×1 (8 integers) Clearly if 2700 has to be written as product of 8 distinct integers, some of those have to be negative. 2700=3×2×(−2)×3×(−3)×5×(−5)×1×(−1) 3 can be multiplied to any one out of the 8 integers inside the bracket except 1 and - 1 otherwise we'll have two 3’s or two - 3’s. Hence, 6 ways are possible.