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6th class > Playing With Numbers > Exercise 3.3

Exercise 3.3

1. Using divisibility tests, determine which of the following numbers are divisible by 2, by 3, by 4, by 5, by 6, by 8, by 9, by 10, by 11 (saying, yes or no):

Numbers23456891011
128YesNo
990YesNoYes
1586NoNoNoNo
275YesNo
6686NoNo
639210NoNo
429714Yes
2856Yes
3060YesNo
406839NoNo

2. Using divisibility tests, determine which of the following numbers are divisible by 4, by 8:

Instructions

572
726352
5500
6000
12159
14560
21084
31795072
1700
2150
divisible by 4
divisible by 8
divisible by 4,8
neither

3. Using divisibility tests, determine which of following numbers are divisible by 6:

Instructions

297144
1258
4335
61233
901352
438750
1790184
divisible by 6
not divisible by 6

4. Using divisibility tests, determine which of the following numbers are divisible by 11:

Instructions

5445
10824
7138965
70169308
10000001
901153
divisible by 11
not divisible by 11

5. Write the smallest digit and the greatest digit in the blank space of each of the following numbers so that the number formed is divisible by 3 :

Instructions

If a number is divisible by 3, the sum of its digits is also divisible by 3.
(a) 6724 (Enter the smallest number).
6724 (Enter the greatest number).
(b) 47652 (Enter the smallest number).
47652 (Enter the greatest number).

6. Write a digit in the blank space of each of the following numbers so that the number formed is divisible by 11

Instructions

A number is divisible by 11 if the of its digits is divisible by 11.
(a) The digit is 92389
(b) The digit is 89484