The DAV Class 6 Maths Book Solutions Pdf and DAV Class 6 Maths Chapter 2 Worksheet 2 Solutions of Factors and Multiples offer comprehensive answers to textbook questions.
DAV Class 6 Maths Ch 2 WS 2 Solutions
Question 1.
Look at the following numbers and fill in the blanks:
(a) 435, 6552, 988, 3870, 5211, 9343
The number that are divisible by 2 are _______, _______, _______
Solution:
6552, 988, 3870
(b) 3522, 9765, 1000, 45012, 28775
The numbers that are divisible by 5 are _______, _______, _______
Solution:
9765, 1000, 28775
(c) 7780, 10000, 2567, 57514, 82210
The numbers that are divisible by 10 are _______, _______, _______
Solution:
7780, 10000, 82210
(d) 4924, 63402, 11507, 36572
The numbers that are divisible by 4 are _______, _______, _______
Solution:
4924, 36572
(e) 789984, 365832, 10098, 395529
The numbers that are divisible by 8 are _______, _______, _______
Solution:
789984, 365832
Question 2.
Apply the divisibility rule and show that:
(a) 432566 is divisible by 2
Solution:
The unit place digit of 432566 is 6 which is divisible by 2
∴ 432566 is also divisible by 2.
(b) 352115 is divisible by 5
Solution:
The unit place of 352115 is 5
∴ 352115 is also divisible by 5.
(c) 868060 is divisible by 10
Solution:
The unit place of 868060 is 0.
∴ 868060 is divisible by 10.
(d) 3496 is divisible by 4
Solution:
The number formed by one’s and ten’s Place 96 is divisible by 4
∴3496 is divisible by 4.
(e) 117904 is divisible by 8
Solution:
The number formed by the digits at one’s place, ten’s place and hundred place 904 of 117904 is divisible by 8
i.e. 904 ÷ 8 = 113
∴ 117904 is divisible by 8.
(f) 784300 is divisible by 4
Solution:
784300 is divisible by 4 as 00 is divisible by 4.
(g) 694000 is divisible by 8
Solution:
694000 is divisible by 8 as 000 is divisible by 8.
(h) 15088 is divisible by 2
Solution:
35088 is divisible by 2 as the ones place 8 is divisible by 2.
DAV Class 6 Maths Chapter 2 Worksheet 2 Notes
Divisibility Test:
1. A number is divisible by 2 if its one place digit is also divisible by 2.
Example: 0, 2, 4, 6, 8, 10, 12, 14, 16 ………….
2. A number is divisible by 3 if the sum of the digits of the given number is also divisible by 3.
Example: 843 is divisible by 3
as 8 + 4 + 3 = 15 ÷ 3 = 5
3. A number is divisible by 5 ifthe digits in. its one’s place are 0 or 5.
Example: 255 ÷ 5 = 51
350 ÷ 5 = 70
4. A number is divisible by 9 if the sum of the digits of the given number is also divisible by 9.
Example: 81963 is divisible by 9
∵ 8 + 1 + 9 + 6 + 3 = 27 ÷ 9 = 3
5. A number is divisible by 11 if the difference between the sum of the digits at even places and sum of the digits at odd places is either 0 or a multiple of 11.
Example:
13856722 is divisible by 11
∵ Sum of digits at odd places is
1 + 8 + 6 + 2 = 17
and the sum of digits at even places is
3 + 5 + 7 + 2 = 17
17 – 17 = 0
Hnc. it is divisible by 11.