Divisibility is a property of numbers that indicates whether a number can be fully divided by another number without leaving a remainder.
There are certain rules that can quickly determine if one number is divisible by another. These are called divisibility rules, divisibility characteristics, or divisibility criteria.
A number is divisible by 2 if the number in the ones position is even.
Is 256 divisible by 2?
-
I identify the number in the ones position.
The number in the ones position is 6.
-
I check if it is even.
6 is an even number.
256 is divisible by 2.
A number is divisible by 3 if the sum of its digits is divisible by 3.
Is 261 divisible by 3?
-
I add all the digits in the number.
2 + 6 + 1 = 9
-
I check if the sum is divisible by 3.
9 ÷ 3 = 3
9 is divisible by 3.
261 is divisible by 3.
Is 347 divisible by 3?
-
I add all the digits in the number.
3 + 4 + 7 = 14
-
I check if the sum is divisible by 3.
14 is not divisible by 3.
347 is not divisible by 3.
A number is divisible by 4 if the number formed by the last two digits:
-
is divisible by 4
or -
equals 00.
Is 524 divisible by 4?
-
I identify the digits in the tens and ones positions.
The digit in the tens position is 2 and the digit in the ones position is 4.
-
I form a number with these two digits.
The number formed by the two digits is 24.
-
I check if the number is divisible by 4 or if it equals 00.
24 is divisible by 4 (24 ÷ 4 = 6).
524 is divisible by 4.
Is 1 277 divisible by 4?
-
I identify the digits in the tens and ones positions.
The digit in the tens position is 7 and the digit in the ones position is 7.
-
I form a number with these two digits.
The number formed by the two digits is 77.
-
I check if the number is divisible by 4 or if it equals 00.
77 is not divisible by 4.
1 277 is not divisible by 4.
A number is divisible by 5 if the digit in the ones position is 0 or 5.
Is 460 divisible by 5?
-
I check if the digit in the ones position is 0 or 5.
The number in the ones position is 0.
460 is divisible by 5.
A number is divisible by 6 if it is divisible by both 2 and 3.
Is 5 364 divisible by 6?
-
I check if the number is divisible by 2.
5 364 is an even number. It is divisible by 2.
-
I check if the number is also divisible by 3.
5 + 3 + 6 + 4 = 18
18 is divisible by 3, so 5 364 is divisible by 3.
5 364 is divisible by 6.
A number is divisible by 8 if the number formed by the last three digits:
-
is divisible by 8
or -
equals 000.
When the number consists of less than 3 digits, divide the entire number by 8 to see if it is divisible by 8.
Is 10 096 divisible by 8?
-
I identify the number formed by the last three digits, that is, in the hundreds position, the tens position and the ones position.
The number formed by the last three digits is 096.
-
I check if this number is divisible by 8 or if it equals 000.
096 is divisible by 8 (96 ÷ 8 = 12).
10 096 is divisible by 8.
Is 5 121 divisible by 8?
-
I identify the number formed by the last three digits, that is, in the hundreds position, the tens position and the ones position.
The number formed by the last three digits is 121.
-
I check if the number is divisible by 8 or if it equals 000.
121 is not divisible by 8.
5 121 is not divisible by 8.
A number is divisible by 9 if the sum of its digits is divisible by 9.
Is 3 159 divisible by 9?
-
I add all the digits in the number.
3 + 1 + 5 + 9 = 18
-
I check if this sum is divisible by 9.
18 is divisible by 9 (18 ÷ 9 = 2).
3 159 is divisible by 9.
A number is divisible by 10 if the digit in the ones position is 0.
Is 125 890 divisible by 10?
-
I check if the digit in the ones position is 0.
The number in the ones position is 0.
Thus, 125 890 is divisible by 10.