# Divisibility (for GMAT)

6 Jan For student studying for GMAT or GRE — these are the rules for divisibility (can you divide X by __).

• 1 -> All Numbers
• 2 -> Last digit is divisible by 2
• (168 is divisible by 2 because the last digit “8” is divisible by 2)
• 3 -> Sum of Digits is divisible by 3
• (39 is divisible by 3 because 3+ 9 = 12 which is divisible by 3)
• 4 -> Last 2 digits are divisible by 4
• (236 is divisible by 4 because 36 is divisible by 4)
• 5 -> All Numbers ending in 0 or 5.
• 6 -> All numbers that are divisible by BOTH 2 and 3.
• (72 is divisible by 6 because it is divisible by 2 (2/2=1) and divisible by 3 (7+2=9 which is divisible by 3))
• 7 -> Sum of first digits – (last digit x 2) = number divisible by 7
• (133 is divisible by 7 because 13 – (3×2) = 13-6 = 7 which is divisible by 7)
• 8 -> Last 3 digits are divisible by 8
• (1152 is divisible by 8 because 152 is divisible by 8)
• 9 -> Sum of all digits is divisible by 9
• (1458 is divisible by 9 because 1 + 4 + 5 + 8 = 18 which is divisible by 9)
• 10 -> Ends in 0