Divisibility Rules for 6

The video tutorial explains how to determine if a whole number is divisible by 6. It begins by reviewing the rules for divisibility by 2 and 3, stating that a number is divisible by 2 if its last digit is even, and by 3 if the sum of its digits is divisible by 3. To check for divisibility by 6, a number must meet both criteria. The tutorial provides examples with numbers 72 and 314 to illustrate these concepts, showing that 72 is divisible by 6 while 314 is not. The lesson concludes with a summary of these rules.

Which of the following numbers is divisible by 2?

• 15

• 28

• 33

• 47

If the sum of the digits of a number is 12, is the number divisible by 3?

• Yes, because 12 is divisible by 3

• No, because 12 is not divisible by 3

• No, because 12 is an odd number

• Yes, because 12 is an even number

What must be true for a number to be divisible by 6?

• It must be divisible by 2 only

• It must be divisible by 3 only

• It must be divisible by both 2 and 3

• It must be an even number

Why is the number 72 divisible by 6?

• Because it is divisible by both 2 and 3

• Because the sum of its digits is 8

• Because it ends with a 2

• Because it is an odd number

Why is the number 314 not divisible by 6?

• Because it is not divisible by 3

• Because it is an even number

• Because it ends with a 4

• Because it is not divisible by 2