10. divisibility rules
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This document provides rules for determining if a number is divisible by other numbers without doing calculations. It explains: - A number is divisible by another if the result of dividing them is a whole number - Zero is divisible by any number - To check if a number is divisible by 2, look if it ends in 0, 2, 4, 6, or 8 - To check if a number is divisible by 3, add the digits and see if the sum is divisible by 3 - To check if a number is divisible by 6, see if it is divisible by both 2 and 3 - Other rules include checking the last digits or doing multiple divisions to determine divisibility by 4, 5, 8, or
10. divisibility rules
- 1. By John Rome R. Aranas DIVISIBILITY RULES
- 2. Divisibility Rules Definition of Terms These rules let you test if one number is divisible by another, without having to do too much calculation!
- 3. “Divisible by” Definition of Terms It means "when you divide one number by another the result is a whole number" EXAMPLES: 12 is divisible by 6, because 12 ÷ 6 = 2 15 is divisible by 3, because 15 ÷ 3 = 3 16 is not divisible by 5, because 16 ÷ 5 = 3r2
- 4. TRIVIA Definition of Terms Zero (0) is divisible to ANY NUMBER
- 5. Divisible by 2 If the number ends in 0, 2, 4, 6, or 8 EXAMPLES: 14 is divisible by 2, because it ends in 4 452 is divisible by 2, because it ends in 2 273 is not divisible by 2, because it does not end in 0, 2, 4, 6, or 8
- 6. Divisible by 2 Say “YES” if the number is DIVISIBLE BY 2. “NO” IF NOT. 54 YES!
- 7. Divisible by 2 Say “YES” if the number is DIVISIBLE BY 2. “NO” IF NOT. 283 NO!
- 8. Divisible by 2 Say “YES” if the number is DIVISIBLE BY 2. “NO” IF NOT. 872 YES!
- 9. Divisible by 2 Say “YES” if the number is DIVISIBLE BY 2. “NO” IF NOT. 987 NO!
- 10. Divisible by 2 Say “YES” if the number is DIVISIBLE BY 2. “NO” IF NOT. 5,267 NO!
- 11. Divisible by 3 If the sum of the digits is divisible by 3. EXAMPLES: 15 is divisible by 3, because 1+5=6, 6÷3=2 453 is divisible by 3, because 4+5+3=12, 12÷3=4 947 is not divisible by 3, because 9+4+7=20, 20÷3=6r2
- 12. Divisible by 3 Say “YES” if the number is DIVISIBLE BY 3. “NO” IF NOT. 54 YES!
- 13. Divisible by 3 Say “YES” if the number is DIVISIBLE BY 3. “NO” IF NOT. 837 YES!
- 14. Divisible by 3 Say “YES” if the number is DIVISIBLE BY 3. “NO” IF NOT. 123 YES!
- 15. Divisible by 3 Say “YES” if the number is DIVISIBLE BY 3. “NO” IF NOT. 687 NO!
- 16. Divisible by 3 Say “YES” if the number is DIVISIBLE BY 3. “NO” IF NOT. 3,267 YES!
- 17. Divisible by 4 If the last 2 digits are divisible by 4 or both zeroes (00). EXAMPLES: 24 is divisible by 4, because 24÷4=6 673 is not divisible by 4, because 73÷4=18r1 528 is divisible by 4, because 28÷4=7
- 18. Divisible by 4 (Alternate Rule) Divide the last 2 digits by 2, 2 times. If there’s no remainder, then the number is divisible by 4. EXAMPLES: 24 is divisible by 4, because 24÷2=12, and 12÷2=6, no remainder. 528 is divisible by 4, because 28÷2=14, and 14÷2=7, no remainder.
- 19. Divisible by 4 Say “YES” if the number is DIVISIBLE BY 4. “NO” IF NOT. 32 YES!
- 20. Divisible by 4 Say “YES” if the number is DIVISIBLE BY 4. “NO” IF NOT. 615 NO!
- 21. Divisible by 4 Say “YES” if the number is DIVISIBLE BY 4. “NO” IF NOT. 761 NO!
- 22. Divisible by 4 Say “YES” if the number is DIVISIBLE BY 4. “NO” IF NOT. 900 YES!
- 23. Divisible by 4 Say “YES” if the number is DIVISIBLE BY 4. “NO” IF NOT. 3,000 YES!
- 24. Divisible by 5 If the number ends in 0 or 5. EXAMPLES: 99 is not divisible by 5, because it doesn’t end in 0 or 5. 875 is divisible by 5, because it ends in 5 1,280 is divisible by 5, because it ends in 0
- 25. Divisible by 5 Say “YES” if the number is DIVISIBLE BY 5. “NO” IF NOT. 63 NO!
- 26. Divisible by 5 Say “YES” if the number is DIVISIBLE BY 5. “NO” IF NOT. 890 YES!
- 27. Divisible by 5 Say “YES” if the number is DIVISIBLE BY 5. “NO” IF NOT. 761 NO!
- 28. Divisible by 5 Say “YES” if the number is DIVISIBLE BY 5. “NO” IF NOT. 805 YES!
- 29. Divisible by 5 Say “YES” if the number is DIVISIBLE BY 5. “NO” IF NOT. 8,765 YES!
- 30. Divisible by 6 If the number is divisible by BOTH 2 and 3. EXAMPLES: 67 is not divisible by 6, because it not divisible by both 2 and 3. 682 is not divisible by 6, because it is not divisible by 3. 978 is divisible by 6, because it is divisible by both 2 and 3.
- 31. Divisible by 6 Say “YES” if the number is DIVISIBLE BY 6. “NO” IF NOT. 54 YES!
- 32. Divisible by 6 Say “YES” if the number is DIVISIBLE BY 6. “NO” IF NOT. 543 NO!
- 33. Divisible by 6 Say “YES” if the number is DIVISIBLE BY 6. “NO” IF NOT. 782 YES!
- 34. Divisible by 6 Say “YES” if the number is DIVISIBLE BY 6. “NO” IF NOT. 657 NO!
- 35. Divisible by 6 Say “YES” if the number is DIVISIBLE BY 6. “NO” IF NOT. 1,628 NO!
- 36. Divisible by 8 If the last 3 digits are divisible by 8 or all zeroes (000). EXAMPLES: 104 is divisible by 8, because 104÷8=13 1,000 is divisible by 8, because it ends in 3 zeroes 7,808 is divisible by 8, because 808÷8=101
- 37. Divisible by 8 (Alternate Rule) Divide the last 3 digits by 2, 3 times. If there’s no remainder, then the number is divisible by 8. EXAMPLES: 104 is divisible by 8, because 104÷2=52, 52÷2=26, and 26÷2=13, no remainder. 7,808 is divisible by 8, because 808÷2=404, 404÷2=202, and 202÷2=101, no remainder.
- 38. Divisible by 8 Say “YES” if the number is DIVISIBLE BY 8. “NO” IF NOT. 62 NO!
- 39. Divisible by 8 Say “YES” if the number is DIVISIBLE BY 8. “NO” IF NOT. 800 YES!
- 40. Divisible by 8 Say “YES” if the number is DIVISIBLE BY 8. “NO” IF NOT. 923 NO!
- 41. Divisible by 8 Say “YES” if the number is DIVISIBLE BY 8. “NO” IF NOT. 7,000 YES!
- 42. Divisible by 8 Say “YES” if the number is DIVISIBLE BY 8. “NO” IF NOT. 8,768 YES!
- 43. Divisible by 9 If the sum of the digits is divisible by 9. EXAMPLES: 18 is divisible by 9, because 1+8=9, 9÷9=1 387 is divisible by 9, because 3+8+7=18, 18÷9=2 789 is not divisible by 9, because 7+8+9=24, 24÷9=2r6
- 44. Divisible by 9 Say “YES” if the number is DIVISIBLE BY 9. “NO” IF NOT. 54 YES!
- 45. Divisible by 9 Say “YES” if the number is DIVISIBLE BY 9. “NO” IF NOT. 837 YES!
- 46. Divisible by 9 Say “YES” if the number is DIVISIBLE BY 9. “NO” IF NOT. 567 YES!
- 47. Divisible by 9 Say “YES” if the number is DIVISIBLE BY 9. “NO” IF NOT. 784 NO!
- 48. Divisible by 9 Say “YES” if the number is DIVISIBLE BY 9. “NO” IF NOT. 7,623 YES!