# Worksheet: Divisibility

In this worksheet, we will practice verifying whether a number is divisible by another and using the known facts of divisibility to solve problems.

**Q2: **

Which of these is divisible by 6?

- A 40
- B 10
- C 16
- D 30

**Q4: **

What number are 3, 7, and 9 divisible by?

**Q5: **

Which of the following is divisible by 5, 2, and 3?

- A 3,495
- B 2,330
- C 1,398
- D 6,990

**Q6: **

Find the greatest-digit number divisible by 5 and 3.

**Q7: **

Find the greatest number divisible by 2 which has 9 equal digits.

**Q8: **

Which of the following are multiples of 2 that are also divisible by 3?

- A5, 8, 18
- B0, 6, 10
- C4, 12, 9
- D6, 12, 18
- E8, 9, 9

**Q10: **

Complete the following: As then 342 is a multiple of and 19 and also 342 is divisible by and 18.

- A18, 19, 18
- B19, 18, 18
- C18, 19, 19
- D18, 18, 19
- E19, 19, 18

**Q11: **

Find all the numbers between 115 and 123 that are divisible by 2.

- A116, 118, and 120
- B116, 120, 122, and 124
- C118, 120, and 122
- D116, 118, 120, and 122

**Q12: **

All numbers are divisible by .

**Q13: **

All numbers are divisible by 2.

- A even
- B odd

**Q14: **

is the only even prime number.

**Q15: **

The process of writing a number as a product of other numbers is called .

- Adistribution
- Bdivision
- Cfactorisation

**Q16: **

A number is divisible by 2 if its unit digit is .

- Aa prime number
- Ban odd number
- Can even number

**Q17: **

The number 225 is divisible by two prime numbers. If 3 is one of the two numbers, which of these is the other?

- A25
- B15
- C9
- D5
- E11

**Q18: **

Is the following true or false: 9 810 is divisible by 5 and 10?

- Atrue
- Bfalse

**Q19: **

Engy has blocks in three colours. The blue blocks are 3 cm high. The red blocks are 5 cm high, and the green blocks are 7 cm high.

- A a green tower that is 18 cm high
- B a blue tower that is 14 cm high
- C a red tower that is 35 cm high

**Q20: **

Find the largest number formed from 5, 6, 7, and 8 which is divisible by 5.

**Q21: **

Find the greatest-digit number that is not divisible by 2.

**Q22: **

Find the greatest number which is divisible by both 5 and 3 and is formed from 4 different digits.

**Q23: **

Find the largest 9-digit number which is divisible by 5 and not divisible by 3.

**Q24: **

Fill in the blanks in the following table:

Division | Quotient | Remainder | Divisibility |
---|---|---|---|

3 | 28 | not divisible | |

- A167, 0, divisible
- B6, 0, not divisible
- C167, 6, divisible
- D6, 27, not divisible
- E167, 6, not divisible

**Q25: **

Find the greatest 6-digit number which is divisible by 2, 3, and 5.