2, 3, 4, 5, 6, 8,9, 2, 3, 4, 5, 6, 8,9, 1010

““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 WITHOUT a result is a whole number WITHOUT 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 2 if A number is divisible by 2 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: ghostevenghosteven

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

2?2?

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

Examples:Examples:75 7 + 5 = 12 12 75 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

3?3?

572572 14641464 279279

Need More Practice: Numbers Divisible by 3

The sum is divisible by 3.

WONDERFUL

Divisibility Divisibility Rule 4Rule 4A number is divisible by 4 if the last A number is divisible by 4 if the last

two digits are divisible by 4.two digits are divisible by 4.

Examples:Examples:

13132020 20 20 ÷ 4 = 5÷ 4 = 5

667272 72 ÷ 4 = 1872 ÷ 4 = 18

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

4?4?

564564 41014101 188188

Need More Practice: Numbers Divisible by 4

WONDERFUL

The last 2 digits are divisible by 4.

Divisibility Rule Divisibility Rule 55

A number is divisible by 5 if the A number is divisible by 5 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 on a 0ends on a 0

Now You Now You Try:Try:

Which number Which number IS NOTIS NOT divisible by 5? divisible by 5?

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 6Rule 6

A number is divisible by 6 when it is A number is divisible by 6 when it is divisible by 2 divisible by 2 ANDAND 3. (prime numbers) 3. (prime numbers)

Examples:Examples:

408408 ends in an even number (2 ends in an even number (2 rule)rule)

sum of the digits is divisible by sum of the digits is divisible by 33

Review prime and composite numbers:Review prime and composite numbers: Prime and Composite NumbersPrime and Composite Numbers

Now You Try:Now You Try:Which number Which number IS NOTIS NOT divisible by 6? divisible by 6?

87008700 523523 7602 7602

Need more practice? Need more practice? Numbers Divisible by 6Numbers Divisible by 6

Way To Go!!Way To Go!!

This number is This number is divisible by 2 and 3.divisible by 2 and 3.

Divisibility Divisibility Rule 8Rule 8A number is divisible by 8 if the sum A number is divisible by 8 if the sum

of the last three digits is divisible of the last three digits is divisible by 8.by 8.

Examples:Examples:

10081008 0 + 0 + 8 = 8 8 0 + 0 + 8 = 8 8 ÷ 8 = ÷ 8 = 11

54405440 4 + 4 + 0 =8 8 ÷ 8 = 4 + 4 + 0 =8 8 ÷ 8 = 11

Now You Now You Try:Try:Find the number that Find the number that IS NOT IS NOT

divisible by 8.divisible by 8.

90179017 54754755405540

The sum of the digits The sum of the digits is divisible by 8.is divisible by 8.

Great Job!!!Great Job!!!

Divisibility Divisibility Rule 9Rule 9A number is divisible by 9 if the sum A number is divisible by 9 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 ÷ 5 + 4 + 4 + 5 =18 18 ÷ 9 =29 =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 636636 55415541

Need More Practice: Need More Practice: Numbers Divisible by 9 and 10Numbers 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 1010A number is divisible by 10 is it A number is divisible by 10 is it

ends in a ZERO.ends in a ZERO.

Example:Example:

76376300 ends in a zeroends in a zero

414100ends 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 ten.by ten.

56,92056,920 7537 7537870870

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

Way To Go!!Way To Go!!