Divisibility Rules

Front

What is the divisibility rule for 2?

Back

A number is divisible by 2 if its last digit is even (0, 2, 4, 6, or 8).

Front

What is the divisibility rule for 3?

Back

A number is divisible by 3 if the sum of its digits is divisible by 3.

Front

What is the divisibility rule for 5?

Back

A number is divisible by 5 if its last digit is 0 or 5.

Front

What is the divisibility rule for 9?

Back

A number is divisible by 9 if the sum of its digits is divisible by 9.

Front

Is 22,996 divisible by 9?

Back

No, because the sum of its digits (2+2+9+9+6=28) is not divisible by 9.

Front

Is 60,714 divisible by 3?

Back

Yes, because the sum of its digits (6+0+7+1+4=18) is divisible by 3.

Front

Is 105 divisible by 2?

Back

No, because its last digit is 5, which is odd.

Front

Which of these numbers is divisible by both 3 and 5?

Back

105 is divisible by both 3 and 5.

Front

What is the sum of the digits of 105?

Back

The sum of the digits of 105 is 1 + 0 + 5 = 6.

Front

If a number is divisible by 6, what other divisibility rules must it satisfy?

Back

A number is divisible by 6 if it is divisible by both 2 and 3.