Divisibility Rules and Concepts

This video tutorial teaches how to determine if a whole number is a multiple of 2, 3, or 6 using divisibility rules. It explains the concept of divisibility, common mistakes, and provides specific rules for each number. Examples are given to illustrate how to apply these rules, including checking if numbers like 84 are multiples of 6 by verifying divisibility by both 2 and 3.

What does it mean for a number to be divisible by another number?

• It can be divided evenly without a remainder.

• It can be divided with a remainder.

• It can be divided into decimals.

• It can be divided into fractions.

Which of the following numbers is divisible by 2?

• 15

• 23

• 36

• 49

What is the divisibility rule for 2?

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

• The number must be odd.

• The number must be a prime number.

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

How do you determine if a number is divisible by 3?

• The sum of its digits must be a multiple of 3.

• The number must be a prime number.

• The number must be even.

• The number must end in 0.

Which of the following numbers is a multiple of 3?

• 44

• 33

• 22

• 55

What is required for a number to be divisible by 6?

• It must be an odd number.

• It must be divisible by both 2 and 3.

• It must be a prime number.

• It must end in 6.

Which of the following numbers is divisible by 6?

• 25

• 30

• 18

• 42

Why is 33 not divisible by 6?

• It ends in an odd number.

• It is not a prime number.

• It is not divisible by 3.

• It is not divisible by 2.

How can you verify if 84 is a multiple of 6?

• Check if it is divisible by 2 and 3.

• Check if it is a prime number.

• Check if it ends in 6.

• Check if it is an odd number.

What is the sum of the digits of 84, and is it a multiple of 3?

• 8, and yes it is a multiple of 3.

• 8, and no it is not a multiple of 3.

• 12, and no it is not a multiple of 3.

• 12, and yes it is a multiple of 3.