Mastering Divisibility Rules for 3, 6, and 9

What is the rule for a number to be divisible by 3?

• The number must be a multiple of 3.

• The number must be even.

• The number must end in 3.

• The sum of its digits must be divisible by 3.

Which of the following numbers is divisible by 3?

• 123

• 126

• 125

• 124

Is the number 25,722 divisible by 3?

• Yes, because the sum of its digits is 18, which is divisible by 3.

• No, because the sum of its digits is 18, which is not divisible by 3.

• Yes, because it ends in 2.

• No, because it is not an even number.

What are the conditions for a number to be divisible by 6?

• The number must be odd and divisible by 3.

• The number must be a multiple of 6.

• The number must be even and divisible by 3.

• The number must end in 6.

Why is the number 479,623 not divisible by 6?

• Because it is not even.

• Because it is not a multiple of 6.

• Because it is not divisible by 3.

• Because it ends in 3.

Is the number 190,116 divisible by 6?

• No, because the sum of its digits is not divisible by 3.

• Yes, because it ends in 6.

• No, because it is not even.

• Yes, because it is even and the sum of its digits is divisible by 3.

Which of the following numbers is divisible by 6?

• 135

• 132

• 134

• 133

What is the rule for a number to be divisible by 9?

• The number must be a multiple of 9.

• The number must end in 9.

• The sum of its digits must be divisible by 9.

• The number must be even.

Is the number 2,479,401 divisible by 9?

• Yes, because the sum of its digits is 27, which is divisible by 9.

• No, because the sum of its digits is 27, which is not divisible by 9.

• No, because it is not an even number.

• Yes, because it ends in 1.

Which of the following numbers is divisible by 9?

• 147

• 146

• 145

• 144