# Worksheet on Divisibility Rules

Worksheet on divisibility rules will help us to practice different types of questions on test of divisibility by 2, 3, 4, 5, 6, 7, 8, 9, 10 and 11. We need to use the divisibility rules to find whether the given number is divisible by 2, 3, 4, 5, 6, 7, 8, 9, 10 and 11.

1. Which of the following numbers are divisible by 2, 5 and 10?

(i) 149

(ii) 19400

(iii) 720345

(iv) 125370

(v) 3000000

2. Check whether the numbers are divisibility by 4:

(i) 23408

(ii) 100246

(iii) 34972

(iv) 150126

(v) 58724

(vi) 19000

(vii) 43938

(viii) 846336

3. In each of the following numbers without doing actual division, determine whether the first number is divisible by the second number:

(i) 3409122; 6

(ii) 17218; 6

(iii) 11309634; 8

(iv) 515712; 8

(v) 3501804; 4

4. 6 is a factor of 12066 and 49320. Is 6 a factor of 49320 + 12066 and 49320 - 12066?

5. Is 9 a factor of the following?

(i) 394683

(ii) 1872546

(iii) 5172354

6. Fill in the smallest digit to make the number divisible by:

(i) by 5 : 7164__, 32197__

(ii) by 3 : 1__43, 47__05, __316

(iii) by 6 : __428, 9__52, 721__

(iv) by 4 : 2462__, 91__ __, 670__

(v) by 8 : 1232__, 59__16, 4642__

7. Check using divisibility rules and fill in the boxes using “Yes” or “No”.

8. Which of the two nearest numbers to 19506 are divisible by 9?

Answers for the worksheet on divisibility rules are given below.

1. (ii) 19400

(iv) 125370

(v) 3000000

2. (i) 23408

(iii) 34972

(v) 58724

(vi) 19000

(viii) 846336

3. (i) Yes

(ii) No

(iii) No

(iv) Yes

(v) Yes

4. Yes

5. (iii) 5172354

6. (i) 0, 0

(ii) 1, 2, 2

(iii) 1, 2, 2

(iv) 0, 00, 0

(v) 0, 0, 4

7. (i) Yes, No, Yes, No, No, Yes, No, No

(ii) Yes, Yes, Yes, No, Yes, No, No, Yes

(iii) Yes, No, Yes, No, No, Yes, Yes, No

(iv) Yes, Yes, Yes, No, Yes, No, Yes, Yes

(v) No, Yes, No, No, No, No, No, No

(vi) Yes, Yes, Yes, No, Yes, Yes, No, Yes

(vii) Yes, No, Yes, Yes, No, No, Yes, No

(viii) Yes, No, Yes, Yes, No, No, Yes, No

(ix) No, Yes, No, Yes, No, No, No, No

8. 19503, 19512

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Properties of Divisibility.

Divisible by 2.

Divisible by 3.

Divisible by 4.

Divisible by 5.

Divisible by 6.

Divisible by 7.

Divisible by 8.

Divisible by 9.

Divisible by 10.

Divisible by 11.

Problems on Divisibility Rules

Worksheet on Divisibility Rules