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Divisibility Rules

Divisibility Rules. Divisible by 2. All even numbers are divisible by 2 Even numbers are numbers that end with either 0, 2, 4, 6, or 8. Now You Try. Are these numbers divisible by 2? A. 458 B. 1,279 C. 759 D. 555 E. 1,050. Divisible by 3. Add up the digits of the number

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Divisibility Rules

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  1. Divisibility Rules

  2. Divisible by 2 • All even numbers are divisible by 2 • Even numbers are numbers that end with either 0, 2, 4, 6, or 8

  3. Now You Try Are these numbers divisible by 2? A.458 B.1,279 C.759 D.555 E.1,050

  4. Divisible by 3 • Add up the digits of the number • If that number is divisible by 3, then the original number is too

  5. Divisible by 3 For example, take the number 738 Add up the digits of the number 7 + 3 + 8 = 18 • If that number is divisible by 3, then the original number is also Is 18 divisible by 3? • If your sum is still a big number, continue to add the digits 1 + 8 = 9 Is 9 divisible by 3?

  6. Now You Try Are these numbers divisible by 3? A.639 B.56 C.86 D.360 E.468 - (add up digits: 6+3+9=18: since 18 is divisible by 3, so is the number.)

  7. Divisible by 5 • If the number ends in 0 or 5

  8. Now You Try Are these numbers divisible by 5? A.554 B.6,890 C.345 D.902 E.845

  9. Divisible by 6 • If the number is divisible by 2 and 3 it is divisible by 6 also

  10. Divisible by 6 For example, take the number 738 • Check if it’s divisible by 2: • Yes, since it’s even! • Check if it’s divisible by 3: • Add up the digits of the number 7 + 3 + 8 = 18 • Yes, Since 18 is divisible by 3, so is the number! • Since the number is divisible by 2 & 3 it’s also divisible by 6!!!

  11. Now You Try Are these numbers divisible by 6? A.623 B.552 C.1,806 D.3,221 E.2,222

  12. Divisible by 9 • Add up the digits of the number • If that number is divisible by 9, then the original number is too

  13. Divisible by 9 For example, take the number 738 Add up the digits of the number 7 + 3 + 8 = 18 • If that number is divisible by 9, then the original number is also Is 18 divisible by 9? • If your sum is still a big number, continue to add the digits 1 + 8 = 9 Is 9 divisible by 9?

  14. Now You Try Are these numbers divisible by 9? A.621 B.4,023 C.5,205 D.146 E.927

  15. Divisible by 10 • If the number ends with a 0

  16. Now You Try Are these numbers divisible by 10? A.570 B.393 C.48 D.560 E.1,030

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