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Worksheet: Divisibility

Q1:

Is 309 divisible by 2?

  • Ano
  • Byes

Q2:

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

Q3:

Which of these are all divisible by both 2 and 5?

  • A7, 12, 50
  • B7, 10, 35
  • C5, 40, 15
  • D10, 40, 50
  • E14, 25, 15

Q4:

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

Q5:

Find the smallest number divisible by 5 which has 4 equal digits.

Q6:

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

Q7:

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

  • Atrue
  • Bfalse

Q8:

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?

  • 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

Q9:

Find the greatest 8 -digit number divisible by 5 and 3.

Q10:

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

Q11:

Find the greatest 9 -digit number that is not divisible by 2.

Q12:

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

Q13:

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

Q14:

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

Q15:

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

Q16:

All numbers are divisible by .

Q17:

All numbers are divisible by 2.

  • A even
  • B odd

Q18:

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

Q19:

is the only even prime number.

Q20:

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

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

Q21:

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

  • Adistribution
  • Bdivision
  • Cfactorisation

Q22:

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

  • Aa prime number
  • Ban odd number
  • Can even number

Q23:

Which of these is divisible by 6?

  • A 40
  • B 10
  • C 16
  • D 30

Q24:

Which of these is divisible by 9?

  • A 60
  • B 30
  • C 50
  • D 54

Q25:

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