Divisibility - 1
1 The dividend is the number that gets divided while the divisor is the one that divides the given number.
Divisor
11
2
Quotient
26
Dividend
22
4
Remainder
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Divisibility - 2
2 Divisibility Rules for 2, 4, & 8
#
A number is divisible by 2 if its units digit is
even.
A number is divisible by 4 if the number
formed by its last two digits is divisible by 4.
A number is divisible by 8 if the number
formed by its last three digits is divisible by
8
Divisible
Not
by
divisible by
Reasoning
162
2
-
• Units digit is even
163
-
2
• Units digit is odd
1236
4
-
• Last 2 digits (36) is divisible by 4
1234
-
4
• Last 2 digits (34) is not divisible by 4
1248
8
-
• 248 is divisible by 8
1234
-
8
• 234 is not divisible by 8
In general, a number is divisible by 2n if the number formed by its last n digits is divisible by 2n.
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Divisibility - 3
3 Divisibility Rules for 3 & 9
#
A number is divisible by 3 if the sum of its
digits is divisible by 3.
A number is divisible by 9 if the sum of its
digits is divisible by 9.
Divisible
Not
by
divisible by
Reasoning
1971
3
-
• 1 + 9 + 7 + 1 = 18, divisible by 3
1972
-
3
• 1 + 9 + 7 + 2 = 19, not divisible by 3
1971
9
-
• 1 + 9 + 7 + 1 = 18, divisible by 9
1972
-
9
• 1 + 9 + 7 + 2 = 19, not divisible by 9
4 Divisibility Rules for 5 & 10
#
Divisible
Not
by
divisible by
Reasoning
A number is divisible by 5 if its units digit is
either 0 or 5.
1235
1230
1234
5
5
-
5
• Units digit is 5
• Units digit is 0
• Units digit is neither 0 nor 5
A number is divisible by 10 if its units digit is
0.
1230
10
-
• Units digit is 0
1235
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• Units digit is not 0
Divisibility - 4
5 Divisibility Rules for 11 & Combinations
The divisibility rule for 6 is equivalent
to testing divisibility by both 2 AND 3.
396
6
-
Units
Digit
2
-
3
-
3+9+6
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396 is divisible by both 2 & 3
Divisibility - 5
6 A number is divisible by 11 if the difference between the sum of its digits in the odd places and the sum of its digits in
the even places is divisible by 11.
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Skills to Master GMAT Quant
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