UA Divisibility Rules

Which number is divisible by 5

• 54

• 15558

• 25

• 81

252 is divisible by 9 because:

• The digits add up to 18.

• The sum of the digits is divisible by 9.

• It's even and the sum of the digits is divisible by 3.

• The sum of the digits is even.

Tags

CCSS.4.OA.B.4

Which of these is divisible by 10?

• 8105
• 375
• 460
• 52

Tags

CCSS.4.NBT.A.1

CCSS.4.OA.B.4

Acme Marble Company requires that all bags hold the same number with no marbles left over! How many can go in each bag if 4,062,153 marbles are made?

• 4
• 3
• 9
• 10

Tags

CCSS.4.OA.B.4

One number is divisible by another number if, after dividing...

• everyone is happy
• the quotient has no zeros
• there is no remainder
• the divisor has one digit

Tags

CCSS.4.NBT.B.6

CCSS.4.OA.A.3

CCSS.4.OA.B.4

Which of these is divisible by 6?

• 515
• 59
• 2086
• 6312

Tags

CCSS.4.OA.B.4

Divisibility rules are rules that can be used as a quick test to figure out if one number is divisible by another. Divisibility rules let us determine divisibility without actually calculating a quotient.

Every even number is divisible by 2

In which choice below are ALL of the numbers divisible by 2?

• 32, 72, 856, 401

• 84, 92, 850, 396

• 92, 86, 461, 982

The divisibility rule for 6 is more complicated. If a number’s last digit is even and the sum of its digits is divisible by 3, that number is divisible by 6. In other words, if a number passes the test for both 2 and 3, it is divisible by 6. For example, we know 72 is divisible by 6 because its last digit, 2, is an even number, and the sum of its digits, 9, is divisible by 3.

In which of the choices below are BOTH of the numbers divisible by 6?

• 235, 450

• 360, 138

• 901, 567

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

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

• 8,143 = 8 + 1 + 4 + 3 = 16,  16  $\div$  9 = 2, so 8,143 is divisible by 9