Divisibility Rules

If the sum of all digits in a number is divisible by 9, that number is divisible by 9.  Which choice below is correct?

• 8,145 = 8 + 1 + 4 + 5 = 18, 18  $\div$   9 = 2,  so 8,145 is divisible by 9

Every number that ends in 0 is divisible by 10.

Which of these numbers is NOT divisible by 10?

• 14,940

• 723,450

• 25,910

• 923,720

• 870,123

A number is divisible by another number when the quotient...

• is a decimal

• is an even number

• has no remainder

• is zero

True or False: Not every whole number is divisible by 1.

• True

• False

When the last digit of a number is _____, that number is divisible by 2.

• zero

• a decimal

• odd

• even

Which of the following numbers is divisible by 5?

• 7,481

• 9,560

• 11

• 326

True or False: A number is divisible by 6 if the last digit is even or the sum of all digits is divisible by 3.

• True

• False

If the sum of all digits in a number _____, that number is divisible by 9.

• is greater than 1

• is divisible by 3

• is divisible by 9

• adds up to 6

Which of the following numbers is divisible by 4?

• 1,351

• 4,363

• 3,816

• 2,318

True or False

572 is divisible by 2

• True

• False