2, 3, 5, 9, 102, 3, 5, 9, 10

““Divisible Divisible BY”BY”

What does it mean?What does it mean?

““Divisible by” means:Divisible by” means:

If you divide one number by another, the If you divide one number by another, the result is a whole number result is a whole number WITHOUTWITHOUT a a remainder.remainder.

Examples:Examples:

12 12 ÷ 6 = 2 No remainder÷ 6 = 2 No remainder

15 ÷ 5 = 3 No remainder 15 ÷ 5 = 3 No remainder

Divisibility Divisibility Rule 2Rule 2

A number is divisible by A number is divisible by 22 if if the last digit is even. (0, 2, the last digit is even. (0, 2, 4, 6, 8)4, 6, 8)

Examples:Examples: 7788 34734700

Review Review EvenEven numbers: numbers: ghosteven

NowNow You You Try:Try:Which number Which number IS NOTIS NOT divisible by divisible by

22??

572572 14641464 249249

Need More Practice: Numbers Divisible by 2

WONDERFUL

It ends in a

0, 2, 4, 6, or 8.

Divisibility Divisibility Rule 3Rule 3

A number is divisible by A number is divisible by 33 if the if the sum of the digits is divisible by 3.sum of the digits is divisible by 3.

Examples:Examples: 7575 : 7 + 5 = 12 , 12 : 7 + 5 = 12 , 12 ÷ ÷ 33 = 4 No = 4 No

RemainderRemainder

369369: 3 +6 + 9 = 18 , 18 ÷ : 3 +6 + 9 = 18 , 18 ÷ 3 3 = 6 = 6 No No RemainderRemainder

NowNow You You Try:Try:Which number Which number IS NOTIS NOT divisible by divisible by

33??

572572 14641464 279279

Need More Practice: Numbers Divisible by 3

The sum is divisible by 3.

WONDERFUL

Divisibility Rule Divisibility Rule 55

A number is divisible by A number is divisible by 55 if the if the last digit is a 0 or 5.last digit is a 0 or 5.

Examples:Examples:

616155 ends in a 5ends in a 5

14814800 ends in a 0ends in a 0

Now You Now You Try:Try:

Which number Which number IS NOTIS NOT divisible by divisible by 55??

98209820 779 779 560560

Need More Practice: Numbers Divisible by 5

The number ends in a The number ends in a zero or a five.zero or a five.

WonderfulWonderful

Divisibility Divisibility Rule 9Rule 9A number is divisible by A number is divisible by 99 if the sum if the sum

of the digits is divisible by 9.of the digits is divisible by 9.

Examples:Examples:

963963:: 9 + 6 + 3 = 18 , 18 9 + 6 + 3 = 18 , 18 ÷ 9 ÷ 9 = 2= 2

54455445: 5 + 4 + 4 + 5 =18 , 18 ÷ 9 : 5 + 4 + 4 + 5 =18 , 18 ÷ 9 =2=2

Now You Now You Try:Try:

Find the number that Find the number that IS NOT IS NOT divisible by 9.divisible by 9.

98739873 648 648 5541 5541

Need More Practice: Need More Practice: Numbers Divisible by 9 and 10

The sum of the digits The sum of the digits is divisible by 9.is divisible by 9.

Great Job!!!Great Job!!!

Divisibility Rule Divisibility Rule 1010

A number is divisible by A number is divisible by 1010 is it ends in a is it ends in a ZERO.ZERO.

Example:Example:

76376300 ends in a zeroends in a zero

414100 ends in a zeroends in a zero

Now You Now You Try:Try:

Find the number that Find the number that ISIS NOT NOT divisibledivisible by by 1010

56,92056,920 7537 7537 870 870

The number ends in a The number ends in a ZERO.ZERO.

Way To Go!!Way To Go!!

2 if the last digit is even. 3 if the sum of the digits is divisible by 3. 5 If the last digit is 0 or 5. 9 if the sum of the digits is divisible by 9. 10 if the last digit is 0.