# Worksheet on Divisibility Rules

This is a worksheet which will provide few problems on the divisibility rule of 2, 3, 4, 5, 6, 7, 8, 9, and 10.

1. Check whether the following numbers are divisible by 2 or 3 or both?

(i) 2562

(ii) 5693

(iii) 2201

(iv) 7480

(v) 5296

(vi) 4062

(vii) 4568

(viii) 1425

(ix) 1110

(x) 2010

Solution:

(i) Divisible by both 2 & 3

(ii) Neither divisible by 2 or 3

(iii) Neither divisible by 2 or 3

(iv) Divisible by 2

(v) Divisible by 2

(vi) Divisible by both 2 & 3

(vii) Divisible by 2

(viii) Divisible by 3

(ix) Divisible by both 2 & 3

(x) Divisible by both 2 & 3

2. Check whether the following numbers are divisible by 5 or 10 or both?

(i) 5865

(ii) 4100

(iii) 2305

(iv) 6300

(v) 7410

(vi) 4520

(vii) 5525

(viii) 490

(ix) 78960

(x) 4523

Solution:

(i) Divisible by 5

(ii) Divisible by both 5 and 10

(iii) Divisible by 5

(iv) Divisible by both 5 and 10

(v) Divisible by both 5 and 10

(vi) Both 5 and 10

(vii) Divisible by 5

(viii) Both 5 and 10

(ix) Both 5 and 10

(x) Divisible by neither 5 or 10

3. Fill in the blanks:

(i) If the last digit of the number is even then the number is divisible by ……..

(ii) If a number is divisible by both 9 and 2 then the number is also divisible by ……

(iii) if the last two digit of the number is 0 then the number is divisible by ……

(iv) If the last digit of the number is 0 or 5 then the number is divisible by ……

(v) If a number is divisible by both 2 and 3 then the number is also divisible by ……

(vi) A number is divisible by 8 if the number formed by the last …… digits is divisible by 8

(vii) If a number is divisible by both 5 and 3 then the number is also divisible by …..

(viii) A number is divisible by 4 if the number formed by the last …… digits is divisible by 4

Solution:

(i) 2

(ii) 18

(iii) 25

(iv) 5

(v) 6

(vi) 3

(vii) 15

(viii) 2

4. Check whether the following numbers are divisible by 7 or not?

(i) 9800

(ii) 343

(iii) 4586

(iv) 7854

(v) 2401

(vi) 1120

(vii) 4032

(viii) 5439

(ix) 4510

(x) 8856

Solution:

(i) Yes

(ii) Yes

(iii) No

(iv) Yes

(v) Yes

(vi) Yes

(vii) Yes

(viii) Yes

(ix) No

(x) No

5. Check whether the numbers are divisible by 4?

(i) 1331

(ii) 6664

(iii) 4588

(iv) 3305

(v) 9372

Solution:

(i) No

(ii) Yes

(iii) Yes

(iv) No

(v) Yes

6. Check whether the following numbers are divisible by 8 or not?

(i) 5960

(ii) 3320

(iii) 7595

(iv) 4520

(v) 1102

Solution:

(i) Yes

(ii) Ye

(iii) No

(iv) Yes

(v) No