Mastering Divisibility Rules for Numbers

Which of the following numbers is divisible by 2?

• 34579

• 34576

• 34577

• 34578

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

• The number must be even.

• The number must end in 0.

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

• The number must end in 5.

Is the number 462 divisible by 3?

• No, because it ends in 2.

• Yes, because it ends in 2.

• No, because 4 + 6 + 2 = 12, which is not divisible by 3.

• Yes, because 4 + 6 + 2 = 12, which is divisible by 3.

For a number to be divisible by 4, what must be true?

• The sum of its digits must be divisible by 4.

• The last two digits must form a number divisible by 4.

• The number must end in 0.

• The number must be even.

Is the number 516 divisible by 4?

• Yes, because 5 + 1 + 6 = 12, which is divisible by 4.

• No, because the last two digits form 16, which is not divisible by 4.

• No, because 5 + 1 + 6 = 12, which is not divisible by 4.

• Yes, because the last two digits form 16, which is divisible by 4.

What is the rule for a number to be divisible by 5?

• The number must be even.

• The number must end in 0 or 5.

• The sum of its digits must be divisible by 5.

• The number must end in 2.

Is the number 95 divisible by 5?

• Yes, because it is even.

• No, because it is even.

• No, because it ends in 5.

• Yes, because it ends in 5.

For a number to be divisible by 6, what must be true?

• The number must be even.

• The sum of its digits must be divisible by 6.

• The number must be divisible by both 2 and 3.

• The number must end in 0.

Is the number 72 divisible by 9?

• Yes, because 7 + 2 = 9, which is divisible by 9.

• No, because 7 + 2 = 9, which is not divisible by 9.

• Yes, because it ends in 2.

• No, because it ends in 2.

What is the rule for a number to be divisible by 10?

• The number must be even.

• The number must end in 0.

• The sum of its digits must be divisible by 10.

• The number must end in 5.