# Worksheet: Divisibility

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

**Q2: **

Which of these is divisible by 6?

- A30
- B10
- C16
- D40

**Q4: **

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

**Q5: **

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

- A6,990
- B3,495
- C2,330
- D1,398

**Q6: **

Find the greatest 8-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?

- A0, 6, 10
- B6, 12, 18
- C8, 9, 9
- D5, 8, 18
- E4, 12, 9

**Q10: **

Complete the following: As then 96 is a multiple of and 8 and also 96 is divisible by and 12.

- A12, 12, 8
- B8, 8, 12
- C8, 12, 12
- D12, 8, 8
- E12, 8, 12

**Q11: **

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

- A118, 120, and 122
- B116, 118, and 120
- C116, 118, 120, and 122
- D116, 120, 122, and 124

**Q12: **

All numbers are divisible by .

**Q13: **

All numbers are divisible by 2.

- Aeven
- Bodd

**Q14: **

is the only even prime number.

**Q15: **

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

- Afactorization
- Bdivision
- Cdistribution

**Q16: **

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

- Aan odd number
- Ban even number
- Ca prime 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?

- A11
- B9
- C25
- D5
- E15

**Q18: **

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

- Afalse
- Btrue

**Q19: **

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

She builds a tower using blocks of the same color. Which of the following could describe that tower?- AA red tower that is 35 cm high
- BA green tower that is 18 cm high
- CA blue tower that is 14 cm high

**Q23: **

Find the largest 4-digit number which is divisible by 3 and not divisible by 5.

**Q25: **

Find the smallest 11-digit number that is divisible by 2, 3, and 5.