Tests of Divisibility A number is divisible by another number if the remainder is zero when the two numbers are divided. In other words, the result of the di...
A number is divisible by another number if the remainder is zero when the two numbers are divided. In other words, the result of the division is equal to the divisor.
There are three main ways to check if a number is divisible by another number:
Division Method: Divide the two numbers directly. If the remainder is zero, then the number is divisible.
Factors: Find the factors of each number. If the two numbers have the same factors, then one of them must divide the other evenly.
Divisibility Rules: Use the following divisibility rules to check if a number is divisible by a specific divisor:
A number is divisible by 2 if it ends in 0 or 2.
A number is divisible by 3 if the sum of its digits is divisible by 3.
A number is divisible by 4 if the number itself is divisible by 4.
A number is divisible by 5 if the last digit is either 0 or 5.
A number is divisible by 6 if the number is divisible by both 2 and 3.
Examples:
12 is divisible by 2 because 12 ÷ 2 = 6.
15 is divisible by 3 because 15 ÷ 3 = 5.
36 is divisible by 4 because 36 ÷ 4 = 9.
28 is divisible by 5 because 28 ÷ 5 = 5 with a remainder of 3.
60 is divisible by 6 because 60 ÷ 2 = 30 and 30 ÷ 3 = 10, both of which are divisible by 6