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## Discovering

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**Discovering**Divisibility Rules**These numbers are all divisible by 2. Can you see why?**Here’s a hint -- • 4 • 18 • 912 • 636 • 9,720 The ones digit is even!**A number is divisible by 2 if the ones digit is even.**Are these numbers divisible by 2? 5 82 917 5,276 8,478,184 NO YES NO YES YES**These numbers are all divisible by 3. Can you see why?**Here’s a hint – **Add up the digits of each number** • 9 • 63 • 714 • 225 • 9,720 The sum of the digits is divisible by 3!**A number is divisible by 3 if the sum of the digits is**divisible by 3. Are these numbers divisible by 3? 7 27 824 271,360 9,265,689 NO YES NO NO YES**These numbers are all divisible by 4. Can you see why?**Here’s a hint -- • 16 • 912 • 720 • 8,224 • 917,532 If the last two digits form a number divisible by 4!**A number is divisible by 4 if the last two digits form a**number divisible by 4. Are these numbers divisible by 4? 15 240 1,693 4,408 12,982,540 NO YES NO YES YES**These numbers are all divisible by 5. Can you see why?**Here’s a hint -- • 15 • 280 • 2,475 • 82,470 • 153,645 The ones digit is a 0 or 5!**A number is divisible by 5 if the ones digit is a 0 or 5.**Are these numbers divisible by 5? 15 240 1,693 4,408 12,982,540 YES YES NO NO YES**These numbers are all divisible by 6. Can you see why?**Here’s a hint – **Think about our other rules and what two numbers are factors of 6.** • 48 • 90 • 174 • 1,044 • 39,720 The number is divisible by both 2 and 3!**A number is divisible by 6 if the number is divisible by**both 2 and 3. Are these numbers divisible by 6? 135 462 7,026 50,319 12,982,440 NO YES YES NO YES**These numbers are all divisible by 9. Can you see why?**Here’s a hint – **Add up the digits of each number** • 18 • 612 • 7,443 • 81,225 • 99,720 The sum of the digits is divisible by 9!**A number is divisible by 9 if the sum of the digits is**divisible by 9. Are these numbers divisible by 9? 72 183 1,287 189,101 12,982,440 YES NO YES NO NO**These numbers are all divisible by 10. Can you see why?**Here’s a hint -- • 50 • 240 • 8,770 • 42,420 • 153,640 The ones digit is 0!**A number is divisible by 10 if the ones digit is 0.**Are these numbers divisible by 10? 70 183 1,280 189,101 142,982,530 YES NO YES NO YES**Determine whether each number is divisible by 2, 3, 4, 5, 6,**9, or 10. 2, 4 712 3, 5, 9 1,035 none 32,221 8,340 2, 3, 4, 5, 6, 10**Assignment**• Divisibility Rules WS You can do it!