Divisibility Rules and Applications

The video tutorial explains how to determine if the number 2730 is divisible by various numbers using divisibility rules. It covers rules for 2, 3, 5, and 10, showing that 2730 is divisible by these numbers. The tutorial also reviews rules for 4, 6, 8, and 9, concluding that 2730 is divisible by 6 but not by 4, 8, or 9. The video aims to reinforce understanding of divisibility rules through practical examples.

Which of the following numbers is 2730 divisible by according to the divisibility rule for 2?

• 3

• 2

• 1

• 4

What is the sum of the digits of 2730, and is it divisible by 3?

• 10, No

• 12, No

• 12, Yes

• 10, Yes

According to the divisibility rule for 5, what should be the last digit of a number for it to be divisible by 5?

• 0 or 5

• 1 or 6

• 2 or 7

• 3 or 8

What is the divisibility rule for 10?

• The last digit is 0

• The sum of digits is 10

• The number is even

• The number ends in 5

Why is 2730 not divisible by 4?

• The sum of digits is not divisible by 4

• The last two digits are not divisible by 4

• The last digit is not 4

• The number is odd

What two conditions must be met for a number to be divisible by 6?

• Divisible by 4 and 5

• Divisible by 2 and 3

• Divisible by 3 and 5

• Divisible by 2 and 4

What is the rule for a number to be divisible by 8?

• The number is even

• The number ends in 8

• The sum of digits is 8

• The last three digits are divisible by 8

Why is 2730 not divisible by 8?

• The last digit is not 8

• The sum of digits is not divisible by 8

• The number is odd

• The last three digits are not divisible by 8

What is the divisibility rule for 9?

• The sum of the digits is divisible by 9

• The number is even

• The last digit is 9

• The number ends in 9

Which numbers is 2730 divisible by according to all the divisibility rules discussed?

• 2, 3, 5, 6, and 10

• 1, 2, 3, 4, and 5

• 3, 5, 7, 9, and 10

• 2, 4, 6, 8, and 10