Divisibility Rules and Concepts

Matt explains the divisibility rule for 6, which requires a number to be divisible by both 2 and 3. He demonstrates this with the number 738, showing it ends in an even number, making it divisible by 2. He then adds the digits (7, 3, and 8) to get 18, which is divisible by 3. Thus, 738 is divisible by 6. The video concludes with a quick review and a link to a more detailed explanation.

What must be true for a number to be divisible by six?

• It must end in zero.

• It must be divisible by two or three.

• It must be divisible by both two and three.

• It must be an even number.

Which of the following numbers is divisible by two?

• 737

• 738

• 739

• 735

What is the rule for determining if a number is divisible by two?

• The number must be a prime number.

• The number must be odd.

• The number must end in an even digit or zero.

• The number must be a multiple of five.

How do you check if a number is divisible by three?

• Check if the number is even.

• Add the digits and see if the sum is divisible by three.

• Multiply the digits and see if the product is divisible by three.

• Check if the number ends in zero.

What is the sum of the digits of 738, and is it divisible by three?

• 19, and it is not divisible by three.

• 18, and it is divisible by three.

• 17, and it is divisible by three.

• 18, and it is not divisible by three.