Divisability rules1

2, 3, 4, 5, 6, 9, 102, 3, 4, 5, 6, 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 WITHOUT a result is a whole number WITHOUT a remainder.remainder.

Examples:Examples:12 12 ÷ 6 = 2 No remainder÷ 6 = 2 No remainder15 ÷ 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, 4, the last digit is even. (0, 2, 4, 6, 8)6, 8)

Examples:Examples: 7788 34734700

Review Review EvenEven numbers: numbers: ghosteven

http://www.oswego.org/ocsd-web/games/Ghostblasterseven/ghosteven.html

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

http://www.321know.com/fra72_x3.htm

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


3?3?

572572 14641464 279279



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


4?4?

564564 41014101 188188



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:616155ends 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



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

WonderfulWonderful

Divisibility Divisibility Rule 6Rule 6A 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

33Review prime and composite numbers:Review prime and composite numbers: Prime and Composite Numbers

http://www.321know.com/fra63ax2.htm

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 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 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 = 2÷ 9 = 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 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 7537

870870

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

Way To Go!!Way To Go!!

CongratulationCongratulations!s!

Complete two of the three Complete two of the three assignments. You may complete assignments. You may complete them on your computers but print them on your computers but print out your answer sheet.out your answer sheet.

Assignment 1.docAssignment 1.docchart.docchart.docassignment3.docassignment3.doc

Now that you have Now that you have completed your two completed your two

assignments, feel free assignments, feel free to go to the following to go to the following

sites. THEY ARE sites. THEY ARE SOOOOO MUCH SOOOOO MUCH

FUN!!!!!!FUN!!!!!!FractionsFractions

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Divisability rules1