Q1. If the division N ÷ 2 leaves a remainder of 1, what might be the one’s digit of N? (N is odd; so its one’s digit is odd. Therefore, the one’s digit must be 1, 3, 5, 7 or 9.)
Q1. If the division N ÷ 5 leaves a remainder of 3, what might be the ones digit of N? (The one’s digit, when divided by 5, must leave a remainder of 3. So the one’s digit must be either 3 or 8.)
(i) Write a 3-digit number as
If the number is divisible by 11, then what can you say about
Is it necessary that should be divisible by 11?
Q1. You have seen that a number 450 is divisible by 10. It is also divisible by 2 and 5 which are factors of 10. Similarly, a number 135 is divisible 9. It is also divisible by 3 which is a factor of 9.
Can you say that if a number is divisible by any number m, then it will also be divisible by each of the factors of m?
Q3. Suppose that the division leaves a remainder of 4, and the division leaves a remainder of 1. What must be the one’s digit of N?
Q2. If the division leaves no remainder (i.e., zero remainders), what might be the
one’s digit of N?