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Rules of Divisibility. Chapter 7. Rule of “2”. If the number ends with:0, 2, 4, 6, or 8 It is divisible by 2 Divisible=Divide Divisible means a number can go into another number evenly with no remainder. The Rule of “2”. Example: 48, 56, 22, 10 and 34 Are all divisible by 2

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## Rules of Divisibility

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**Rules of Divisibility**Chapter 7**Rule of “2”**• If the number ends with:0, 2, 4, 6, or 8 • It is divisible by 2 • Divisible=Divide • Divisible means a number can go into another number evenly with no remainder**The Rule of “2”**• Example: • 48, 56, 22, 10 and 34 • Are all divisible by 2 • Explain why: They all end with a number that is divisible by 2**Practice**• 88, 95, 108, 2004, 26, 44 • Which number is not divisible by “2” • Answer 95 • Explain why? • 5 is not divisible by 2**Rule of “5”**• Rule of “5” • The number must end with 5 or 0 • Example: 550 • Ends with 0, so it is divisible by 5**Practice**• Which numbers are divisible by 5 ? • 262, 265, 360, 455 and 291 • Answer: • 265 • 360 • 455 • Explain why? • The numbers end 5 or 0**Rule of “10”**• Rule of 10 • The number has to end with 0 to be divisible by 10 • Example: 690 • Ends with 0, so 690 is divisible by 10**Practice**• Which number is divisible by 10 • 550 or 600 • Answer • Both 550 and 600 • Explain why: They both end with 0**Rule of “4”**• Rule of “4” • The last two digits of a number must be divisible by 4 • Example: 444 • Take the last two digits of the number 444 • Divide by 4: 44÷4= 11 • 444 is divisible by 4**Practice**• Which number is divisible by 4 • 460 or 328 • Answer • Both • Why? • 4 can go into 28 evenly • 4 can go in 60 evenly**Rule of “3”**• The sum of the digits must be divisible by 3 • Example: 240 • Add up each digit: 2 + 4 + 0 = 6 • Now divide 6÷3=2 • 3 goes into 6 with no remainder so 240 is divisible by 3**Practice**• Which number is divisivble by 3 • 24 or 81 • Answer • Both • Why? • 2 + 4=6, three goes into six evenly • 8 + 1= 9 three goes into nine evenly**Rule of 9**• The sum of the digits must be divisible by 9 • Example: 360 • 3 + 6 + 0 = 9 • Now take the sum which is “9” and divide • 9 ÷ 9 = 1 • 360 is divisible by 9**Practice**• Which number is divisible by 9? • 540 or 361 • Answer • 540 • Why 5 + 4 + 0 = 9 • 9 goes into 9 evenly with no remainder

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