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 8×=96 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:

DivisionQuotientRemainderDivisibility
220÷64328not divisible
195÷28
  • 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.

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