# 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.

Q1:

Is 309 divisible by 2?

• Ayes
• Bno

Q2:

Which of these is divisible by 6?

• A30
• B10
• C16
• D40

Q3:

Which of these are all divisible by both 2 and 3?

• A6, 54, 36
• B5, 8, 36
• C15, 9, 12
• D4, 6, 48
• E5, 54, 9

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

Q9:

Find all the numbers between 696, and 724 that are divisible by 5 and 2.

• A710, 720, and 730
• B700, 710, and 720
• C700, 705, and 710
• D700, 702, and 704

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

Q20:

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

Q21:

Find the smallest 9-digit number that is not divisible by 5.

Q22:

Find the smallest number which is divisible by both 5 and 2 and is formed from 5 different digits.

Q23:

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

Q24:

Fill in the blanks in the following table:

Division 220÷64 195÷28 Quotient Remainder Divisibility 3 28 not divisible ⋯ ⋯ ⋯
• A6, 0, not divisible
• B167, 6, divisible
• C167, 0, divisible
• D167, 6, not divisible
• E6, 27, not divisible

Q25:

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