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DIVISIBILITY RULES- Ms. Ruby Rose Ann B. Panganod
A number is divisible by 2 if the number
ends in 0,2,4,6 and 8.
Example:
24, 872, 500, 1 118, 9 866
A number is divisible by 5 if the number
ends in 0 and 5.
Example:
25, 500, 1 085, 16 700
A number is divisible by 10 if the
number ends in 0.
Example:
30, 500, 18 000, 16 700
A number is divisible by 3 if the sum of
the digits is divisible by three.
Example:
15, 30, 456, 1 035
A number is divisible by 9 if the sum of
the digits is divisible by nine.
Example:
18, 45, 261, 3 069
A number is divisible by 4 if the last
two digits are divisible by 4.
Example:
312, 504, 948, 2 032
A number is divisible by 8 if the last
three digits are divisible by 8.
Example:
596, 2 032, 12 328
A number is divisible by 6 if the number
is divisible by 2 and 3.
Example:
102, 396, 5 232, 21 348
A number is divisible by 7 if the difference
between twice the last digit and the
remaining digits is either zero or is divisible
by 7.
Example:
343, 2 275, 1 617, 6 258
A number is divisible by 11 if the difference
between the sum of the odd-placed digits
and the sum of the even-placed digits is
zero or divisible by 11.
Example:
693, 3 828, 10 857, 8 349
Divisibility Rules Explained
Divisibility Rules Explained

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Divisibility Rules Explained

  • 1. DIVISIBILITY RULES- Ms. Ruby Rose Ann B. Panganod
  • 2. A number is divisible by 2 if the number ends in 0,2,4,6 and 8. Example: 24, 872, 500, 1 118, 9 866
  • 3. A number is divisible by 5 if the number ends in 0 and 5. Example: 25, 500, 1 085, 16 700
  • 4. A number is divisible by 10 if the number ends in 0. Example: 30, 500, 18 000, 16 700
  • 5. A number is divisible by 3 if the sum of the digits is divisible by three. Example: 15, 30, 456, 1 035
  • 6. A number is divisible by 9 if the sum of the digits is divisible by nine. Example: 18, 45, 261, 3 069
  • 7. A number is divisible by 4 if the last two digits are divisible by 4. Example: 312, 504, 948, 2 032
  • 8. A number is divisible by 8 if the last three digits are divisible by 8. Example: 596, 2 032, 12 328
  • 9. A number is divisible by 6 if the number is divisible by 2 and 3. Example: 102, 396, 5 232, 21 348
  • 10. A number is divisible by 7 if the difference between twice the last digit and the remaining digits is either zero or is divisible by 7. Example: 343, 2 275, 1 617, 6 258
  • 11. A number is divisible by 11 if the difference between the sum of the odd-placed digits and the sum of the even-placed digits is zero or divisible by 11. Example: 693, 3 828, 10 857, 8 349