About Divisibility Rules:

As we move forward in math it is extremely helpful to be able to determine if a number is divisible by the first few whole numbers. We will focus on rules that run from the number 2 up to and including the number 12. The often left out rules for 7 and 11 are included.


Test Objectives
  • Demonstrate the ability to determine if a number is divisible by 2,3,4,5, or 6
  • Demonstrate the ability to determine if a number is divisible by 8,9,10, or 12
  • Demonstrate the ability to determine if a number is divisible by 7 or 11
Divisibility Rules Practice Test:

#1:

Instructions: Determine if each number is divisible by 2,3,4,5, or 6.

a) 58,738

b) 24,665

c) 79,200


#2:

Instructions: Determine if each number is divisible by 2,3,4,5, or 6.

a) 21,820

b) 39,702

c) 13,680


#3:

Instructions: Determine if each number is divisible by 5,6,8,9, or 10.

a) 18,608

b) 28,926

c) 280,800


#4:

Instructions: Determine if each number is divisible by 8,9,10, or 12.

a) 92,502

b) 47,736

c) 181,440


#5:

Instructions: Determine if each number is divisible by 7 or 11.

a) 104,720

b) 334,180

c) 1,049,070


Written Solutions:

#1:

Solutions:

a) 58,738

  • 2 - yes
  • 3 - no
  • 4 - no
  • 5 - no
  • 6 - no

b) 24,665

  • 2 - no
  • 3 - no
  • 4 - no
  • 5 - yes
  • 6 - no

c) 79,200

  • 2 - yes
  • 3 - yes
  • 4 - yes
  • 5 - yes
  • 6 - yes

#2:

Solutions:

a) 21,820

  • 2 - yes
  • 3 - no
  • 4 - yes
  • 5 - yes
  • 6 - no

b) 39,702

  • 2 - yes
  • 3 - yes
  • 4 - no
  • 5 - no
  • 6 - yes

c) 13,680

  • 2 - yes
  • 3 - yes
  • 4 - yes
  • 5 - yes
  • 6 - yes

#3:

Solutions:

a) 18,608

  • 5 - no
  • 6 - no
  • 8 - yes
  • 9 - no
  • 10 - no

b) 28,926

  • 5 - no
  • 6 - yes
  • 8 - no
  • 9 - yes
  • 10 - no

c) 280,800

  • 5 - yes
  • 6 - yes
  • 8 - yes
  • 9 - yes
  • 10 - yes

#4:

Solutions:

a) 92,502

  • 8 - no
  • 9 - yes
  • 10 - no
  • 12 - no

b) 47,736

  • 8 - yes
  • 9 - yes
  • 10 - no
  • 12 - yes

c) 181,440

  • 8 - yes
  • 9 - yes
  • 10 - yes
  • 12 - yes

#5:

Solutions:

a) 104,720

  • 7 - yes
  • 11 - yes

b) 334,180

  • 7 - yes
  • 11 - yes

c) 1,049,070

  • 7 - no
  • 11 - yes