If ABCD has fourteen different natural numbers and a × B × C × d = 5964, what is the maximum value of a + B + C + D

If ABCD has fourteen different natural numbers and a × B × C × d = 5964, what is the maximum value of a + B + C + D


5964/1=5964
5964/2=2982
2982/3=994
The maximum value is 1 + 2 + 3 + 994 = 1000



If a, B, C and D are four unequal natural numbers, and axbxcxd = 1995, find the maximum of a + B + C + D


1995=19×7×5×3×1
A + B + C + D is the maximum
The four unequal natural numbers are 133, 5, 3 and 1
The maximum value of a + B + C + D is 133 + 5 + 3 + 1 = 142



It is known that 2A · 27b · 37C = 1998, where a, B and C are integers. Find the value of (a-b-c) 1998


∵ 2A · 33b ⋅ 37C = 2 × 33 × 37, a = 1, B = 1, C = 1, the original formula = (1-1-1) 1998 = 1