Exploring the Rules of Divisibility

What is the rule for determining if a number is divisible by 2?

• The number is a prime number.

• The number ends in 2, 4, 6, 8, or 0.

• The number ends in 1, 3, 5, 7, or 9.

• The number is a multiple of 5.

How can you tell if a number is divisible by 3?

• The number is even.

• The sum of the digits is divisible by 3.

• The number ends in 3.

• The number is a multiple of 6.

Which of the following numbers is divisible by 4?

• 164

• 456

• 123

• 789

What is the rule for determining if a number is divisible by 5?

• The number is a multiple of 2.

• The number ends in 0 or 5.

• The number ends in 1 or 6.

• The number is a prime number.

A number is divisible by 6 if it is divisible by which two numbers?

• 2 and 4

• 3 and 5

• 4 and 5

• 2 and 3

Which of the following numbers is divisible by 6?

• 123

• 456

• 789

• 408

How can you determine if a number is divisible by 8?

• The number ends in 8.

• The last three digits form a number divisible by 8.

• The number is a multiple of 4.

• The sum of the digits is divisible by 8.

Which of the following numbers is divisible by 9?

• 729639

• 456789

• 987654

• 123456

If the sum of the digits of a number is 36, which rule can be applied to determine its divisibility?

• Divisibility by 2

• Divisibility by 3

• Divisibility by 9

• Divisibility by 10

What is the rule for determining if a number is divisible by 10?

• The number is a multiple of 2.

• The number ends in 5.

• The number is a multiple of 5.

• The number ends in 0.