Divisibility Rules

Any number which ends in a 2, 4, 6, 8, or 0 is even, and therefore divisible by which number?

• 2

• 4

• 6

• 8

Is 1,284,604 divisible by 2?

• Yes, because the sum of the digits is 20, which is an even number

• No, because 4 is an odd number

• Yes, because the last digit (4) is an even number

• No, because the it is not divisible by 3

What is the divisibility rule for 3?

• Add up the digits. The sum must be an even number

• The digits must add up to 9.

• The last digit must be a 3.

• Add up the digits. The sum of the digits must be divisible by 3.

Is 555,509 divisible by 3?

• Yes

• No

What is the divisibility rule for 4?

• The sum of the digits must be a multiple of 4

• The last two digits must be divisible by 4

• The number must be divisible by 2 and 3.

• The number must end in 0, 2, or 4

Is 36,928 divisible by 4?

• Yes, because the sum of the digits is a multiple of 4

• Yes, because it is an even number

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

• Yes, because it is divisible by 2 and 3

What is the divisibility rule for 5?

• The digits must add up to 10.
• The last digit needs to be a 5 or 0.
• The last digit can only be a 5.
• The sum of the digits need to be divisible by 5.

All of these numbers are divisible by 5 except for...

• 75,395
• 984,940
• 222,222,235
• 8,943,892

2520 is divisible by 6 because:

• It is divisible by 2 (even) and 5 (ends in a 0 or 5)

• The sum of the digits is 12, a multiple of 6

• It's divisible by 2 (even) and 3 (sum of digits is a multiple of 3)

• The sum of the digits is even

Which of these numbers is divisible by 6?

• 515

• 59

• 2086

• 6312