121.
5
0.0261
When a number is divided by 32, the remainder can range from 0 to 31, as the remainder can never be greater than the divisor. Therefore, the greatest value the remainder may have is 31.
The remainder is the number that is left over after the initial value has been divided as much as it can. If any numbers greater than 48 were present as a remainder, then these could be divided further into 48. If 48 is present as the remainder, then this can be divided by 48 to give 1, leaving no remainder. Thus, the largest possible remainder if the divisor is 48 is 47.
15
234568
5
41
The integer is 157. 157/3 = 52 remainder 1 157/5 = 31 remainder 2 157/7 = 22 remainder 3
36
71
2^30
The smallest prime number greater than 30 is 31. A prime number is a number greater than 1 that can only be divided by itself and 1 without leaving a remainder. In this case, 31 is indivisible by any other number besides 1 and itself, making it the smallest prime number greater than 30.
127 is the least prime number greater than 25 that will have a remainder of 2 when divided by 25.
0.0261
104.
The smallest number that leaves a remainder of 2 when divided by 3, 4, 5 or 6 is 62. This can be found by analyzing the multiples of the greatest common divisor (GCD) of 3, 4, 5, and 6, which is 60. Adding 2 to this number gives us the smallest number with the specified remainder.