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.

Q1:

Is 309 divisible by 2?

  • Ano
  • Byes

Q2:

Which of these is divisible by 6?

  • A 40
  • B 10
  • C 16
  • D 30

Q3:

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

  • A5, 8, 36
  • B4, 6, 48
  • C5, 54, 9
  • D6, 54, 36
  • E15, 9, 12

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 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?

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

Q9:

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

  • A700, 702, and 704
  • B700, 705, and 710
  • C710, 720, and 730
  • D700, 710, and 720

Q10:

Complete the following: As 1 9 × = 3 4 2 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.

She builds a tower using blocks of the same colour. Which of the following could describe that tower?

  • 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 9 -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
2 2 0 ÷ 6 4 3 28 not divisible
1 9 5 ÷ 2 8
  • 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.

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