2, 3, 5, 9, 10
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Transcript of 2, 3, 5, 9, 10
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2, 3, 5, 9, 102, 3, 5, 9, 10
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““Divisible Divisible BY”BY”
What does it mean?What does it mean?
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““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
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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
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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
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WONDERFUL
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It ends in a
0, 2, 4, 6, or 8.
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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
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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
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The sum is divisible by 3.
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WONDERFUL
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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
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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
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The number ends in a The number ends in a zero or a five.zero or a five.
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WonderfulWonderful
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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
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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
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The sum of the digits The sum of the digits is divisible by 9.is divisible by 9.
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Great Job!!!Great Job!!!
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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
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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
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The number ends in a The number ends in a ZERO.ZERO.
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Way To Go!!Way To Go!!
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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.