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Ways to Check for Divisibility A whole number is divisible by…. 2 …if the last digit is 0, 2, 4, 6, 8. These numbers are divisible by 2: 42; 38; 100,480; 13,626; 984 These numbers are not divisible by 2: 43; 39; 100,481; 13,625; 987 Your Turn Are these numbers divisible by 2? 458 1279 759 555 1050 …if the last digit is 0, 2, 4, 6, 8. A whole number is divisible by…. 2 …if the last digit is 0, 2, 4, 6, 8. 3 …if the sum of its digits are divisible by 3. is NOT by 3, 9 is7divisible divisible by 3, → → so 99 is divisible = 7 1 + 6 = 16 178 99 19 ++ 79 += 818 → 1 + 8 = 9 so 178 is NOT by 3 too. divisible by 3. Your Turn Are these numbers divisible by 3? 639 56 86 360 468 …if the sum of its digits are divisible by 3. A whole number is divisible by…. 2 …if the last digit is 0, 2, 4, 6, 8. 3 …if the sum of its digits are divisible by 3. 5 …if the last digit is 5 or 0. These numbers are divisible by 5: 30; 125,425; 100,480; 586,625; 810 These numbers are not divisible by 5: 993; 29; 122,486; 13,637; 325,426 Your Turn Are these numbers divisible by 5? 554 6,890 345 902 845 …if the last digit is 5 or 0. A whole number is divisible by…. 2 3 5 …if the last digit is 0, 2, 4, 6, 8. are divisible by 3. 6 …if the number is divisible by both 2 and 3. …if the sum of its digits …if the last digit is 5 or 0. 13,314 → 1 + 3 + 3 + 1 + 4 = 12 Since 13, 314 is divisible 2 and 3, it is also divisible by 6. 12 is divisible by 3, so 13,314 is divisible by 3 too. Your Turn Are these numbers divisible by 6? 897 258 630 345 84 …if the number is divisible by both 2 and 3. X 2 …if the last digit is 0, 2, 4, 6, 8. …if the sum of its digits 3 are divisible by 3. A whole number is divisible by…. …if the last digit is …if the number is divisible 2 6 by both 2 and 3. 0, 2, 4, 6, 8. …if the sum of its …if the sum of its digits …if the sum of its digits 3 are digits are divisible 9 divisible by 3. are divisible by 9. by 3. …if the last digit is 5 5 or 0. 774 → 7 + 823 =9 7 +4→= 818+→ = 13 2 +1 3+ 8 13 9is (and NOT18) is divisible 9, divisible by by 9, so sois774 is 823 NOT divisible divisible by by 9. 9 too. Your Turn Are these numbers divisible by 9? 5,778 398 48 198 4,905 …if the sum of its digits are divisible by 9. A whole number is divisible by…. 2 …if the last digit is 0, 2, 4, 6, 8. 3 …if the sum of its digits are divisible by 3. 5 …if the last digit is 5 or 0. 6 …if the number is divisible by both 2 and 3. 9 …if the sum of its digits are divisible by 9. 10 …if the last digit is 0. These numbers are divisible by 10: 30; 125,960; 100,480; 584,320; 810 These numbers are not divisible by 10: 1,423; 369; 175,486; 16,897; 75,635 Your Turn Are these numbers divisible by 10? 578 398 48 1,903 490 …if the last digit is 0.