Divisibility Rules and Concepts

The video tutorial explains the criteria for determining if a number is divisible by 6. It states that a number must be divisible by both 2 and 3 to be divisible by 6. The video provides examples to illustrate the process of checking divisibility, including numbers like 4725, 344, 1230, and 123456. Each example demonstrates the application of divisibility rules for 2 and 3, and confirms the results through division.

What must be true for a number to be divisible by 6?

• It must be divisible by 2 or 3.

• It must be divisible by 2 and 3.

• It must be divisible by 4 and 5.

• It must be divisible by 3 only.

Which of the following is a rule for divisibility by 2?

• The number ends in 0, 2, 4, 6, or 8.

• The sum of the digits is 3, 6, or 9.

• The number ends in 1, 3, or 5.

• The number is a multiple of 5.

How do you determine if a number is divisible by 3?

• The number ends in 0 or 5.

• The number is even.

• The sum of its digits is a multiple of 3.

• The number is a prime number.

Why is the number 4725 not divisible by 6?

• It is not divisible by 2.

• It is not divisible by 3.

• It is not divisible by 5.

• It is not divisible by 4.

What is the sum of the digits of 344, and why is it not divisible by 3?

• The sum is 10, which is not a multiple of 3.

• The sum is 13, which is not a multiple of 3.

• The sum is 11, which is not a multiple of 3.

• The sum is 12, which is not a multiple of 3.

What makes 1230 divisible by 6?

• It is divisible by both 2 and 3.

• It is divisible by 5.

• It is divisible by 3 but not by 2.

• It is divisible by 2 but not by 3.

What is the sum of the digits of 123456, and why is it divisible by 3?

• The sum is 21, which is a multiple of 3.

• The sum is 22, which is a multiple of 3.

• The sum is 24, which is a multiple of 3.

• The sum is 23, which is a multiple of 3.

Which of the following numbers is divisible by 6?

• 3456

• 1230

• 5678

• 1234

If a number ends in 6, what can be said about its divisibility?

• It is definitely divisible by 4.

• It is definitely divisible by 2.

• It is definitely divisible by 5.

• It is definitely divisible by 3.

What is the final step to confirm a number is divisible by 6?

• Check if it is divisible by 5.

• Check if it is divisible by both 2 and 3.

• Check if it is divisible by 7.

• Check if it is divisible by 4.