Divisibility Rules

Is 105 divisible by 2?

• Yes, because it is an even number.

• No, because it is an odd number.

• Yes, because it is a prime number.

• No, because it is a multiple of 5.

Is 60,714 divisible by 3?

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

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

• Yes, because 60,714 is an even number.

• No, because 60,714 is less than 100.

Is 105 divisible by 5?

• Yes, because it ends in 5.

• No, because it is an odd number.

• Yes, because it is a multiple of 10.

• No, because it is less than 100.

What is the divisibility rule for 10?

• A number is divisible by 10 if its last digit is 0.

• A number is divisible by 10 if it is even.

• A number is divisible by 10 if it ends with a 5.

• A number is divisible by 10 if the sum of its digits is 10.

Is 36,928 divisible by 4?

• Yes, because the last two digits (28) are divisible by 4.

• No, because 36 is not divisible by 4.

• Yes, because 36 is divisible by 4.

• No, because 928 is not divisible by 4.

What is the divisibility rule for 4?

• A number is divisible by 4 if the last two digits form a number that is divisible by 4.

• A number is divisible by 4 if it is even.

• A number is divisible by 4 if the sum of its digits is divisible by 4.

• A number is divisible by 4 if it ends in 0 or 5.

True or False: 40,500 is divisible by 6.

• True, because it is divisible by both 2 and 3.

• False, because it is not divisible by 2.

• True, because it is divisible by 4 and 3.

• False, because it is not divisible by 3.

What is the divisibility rule for 3?

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

• A number is divisible by 3 if it ends in 0 or 5.

• A number is divisible by 3 if it is an even number.

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

What is the divisibility rule for 2?

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

• A number is divisible by 2 if it is an even number only.

• A number is divisible by 2 if it ends with a prime number.

• A number is divisible by 2 if the sum of its digits is even.

What is the divisibility rule for 9?

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

• A number is divisible by 9 if it ends in 0 or 5.

• A number is divisible by 9 if the product of its digits is even.

• A number is divisible by 9 if it is a multiple of 3.