Some More Divisibility Rules Divisibility rules help us determine whether a number is divisible by a specific number. These rules can help us quickly identif...
Divisibility rules help us determine whether a number is divisible by a specific number. These rules can help us quickly identify numbers that are divisible by a particular number without having to perform long division.
Rule 1: First, check divisibility by 2.
A number is divisible by 2 if the last digit of the number is even. For example, 10 is divisible by 2 because 10 ÷ 2 = 5, which is even.
Rule 2: If the number is divisible by 3, it will also be divisible by 9.
This is because 3 is divisible by 3, and a number divisible by 3 will also be divisible by 9, which is a multiple of 3. For example, 15 is divisible by 3 but not divisible by 9 because 15 ÷ 9 = 1, which is not divisible by 3.
Rule 3: If a number is divisible by 4, it will also be divisible by 8.
This is because 4 and 8 are divisible by the same number, which is 2. Therefore, any number divisible by 4 must also be divisible by 8. For example, 24 is divisible by 4 but not divisible by 8.
Rule 4: If a number ends in 0, it is divisible by 10.
This is because any number divisible by 10 ends in either 0 or 5, which are both divisible by 10. For example, 420 is divisible by 10 but not divisible by 5.
Rule 5: If a number ends in a unit (5 or 0), it is divisible by 5.
This is because any number ending in a unit is divisible by 5, as it can be divided equally by 5 without leaving a remainder. For example, 75 is divisible by 5 but not divisible by 10.
By understanding these rules, we can quickly identify which numbers are divisible by specific numbers without having to perform long division