# What are the divisibility rules for 4?

**rule**for

**divisibility**by

**4**is that if the number formed by the last two digits in a number is

**divisible**by

**4**, the original number is

**divisible**by

**4**; this is because 100 is

**divisible**by

**4**and so adding hundreds, thousands, etc. is simply adding another number that is

**divisible**by

**4**.

Similarly, it is asked, why does the divisibility rule for 4 Work?

“If the last two digits form a number **divisible** by **4**, then the whole number is **divisible** by **4**.” It works because if you subtract from any whole number the two digit number formed by the last two digits, you always get a number ending in -00, which is a multiple of 100 and is therefore **divisible** by **4**.

Similarly, what is the divisibility rule for 3? The **Rule for 3**: A number is **divisible** by **3** if the sum of the digits is **divisible** by **3**. What does this mean? This means that we need to add up the digits in the number and see of the answer is can be divided by **3** without a remainder.

Keeping this in view, what are the divisibility rules?

**The Divisibility Rules**

- The sum of the digits is divisible by 3.
- The last 2 digits are divisible by 4.
- Is even and is divisible by 3 (it passes both the 2 rule and 3 rule above)
- Double the last digit and subtract it from a number made by the other digits.
- The last three digits are divisible by 8.

What are the divisibility rules for 6?

The **Rule for 6**: The prime factors of **6** are 2 and 3. So for a number to be **divisible** by **6**, it must also be **divisible** by 2 and 3. Therefore, we need to check if a number is even and then check if the sum of the digits is **divisible** by 3.