(2 x 3 x 4 x 5 x 6 x 7 x 8 x 9) + 1 will have a remainder of 1 when divided by 2, 3, 4, 5, 6, 7, 8, or 9.
(2 x 3 x 4 x 5 x 6 x 7 x 8 x 9) + 1 = 362,881
85. A number when divided by 238, leaves a remainder 79. What will be the remainder when the number is divided bv 17 ? (1) 8 (2) 9 (3) 10 @) 11
An even number can be divided by 2 evenly. An odd number will have a remainder of 1 when divided by 2.
A subtle point is that the remainder is always a positive number. So -7 divided by 3 is -3, remainder 2 (rather than -2, remainder -1). This is important for the date of Easter because we must often calculate the remainder when dividing into a negative number. Since in that case we are not interested in the quotient it is sufficient to calculate the negative remainder and then simply add to it the number we were dividing by. So -11 mod 3 may be calculated as: -11 divided by 3 is -3, remainder -2, so the number required is -2 + 3 = 1.
2
16.4
301 is one such number.
3
29
59
A 2 digit number divided by a four digit number, such as 2345, will leave the whole 2-digit number as a remainder. It cannot leave a remainder of 1.
Every 2 digit number, when divided by the number one less than it, will result in a remainder of 1.
31
It is an Odd number. Even numbers are those which have no remainder when divided by 2.
3 divided by 2 goes once, remainder one.
57
It is an integer which, when divided by 2, leaves a remainder of 1.
58