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.