Table of Contents

## How do you find the rule for divisibility by a number?

The Divisibility Rules

- Any integer (not a fraction) is divisible by 1.
- The last digit is even (0,2,4,6,8)
- The sum of the digits is divisible by 3.
- The last 2 digits are divisible by 4.
- The last digit is 0 or 5.
- Is even and is divisible by 3 (it passes both the 2 rule and 3 rule above)

### Which divisibility rule would you apply to tell whether a number is divisible by 4?

If the last two digits of a number are divisible by 4, the number is divisible by 4. If the last two digits of a number are 0’s, the number is divisible by 4 because 4 divides 100. For example, 324 is divisible by 4 because 4 divides 24, and 1500 is divisible by 4 because the last two digits are 0’s.

**What is the rule to determine if a number is divisible by 2?**

A number is divisible by 2 if the last digit of the number is 0, 2, 4, 6, or 8. Example 1: Is the number 246 divisible by 2? Solution: Since the last digit of the number 246 ends in 6, that means it is divisible by 2.

**What is the divisibility rule for 8?**

Divisibility rules for numbers 1–30

Divisor | Divisibility condition | Examples |
---|---|---|

8 | If the hundreds digit is even, the number formed by the last two digits must be divisible by 8. | 624: 24. |

If the hundreds digit is odd, the number obtained by the last two digits plus 4 must be divisible by 8. | 352: 52 + 4 = 56. |

## Which is an example of the divisibility rule of 5?

Divisibility Rule of 5. Numbers, which last with digits, 0 or 5 are always divisible by 5. Example: 10, 10000, 10000005, 595, 396524850, etc. Divisibility Rule of 6. Numbers which are divisible by both 2 and 3 are divisible by 6.

### How to know the divisibility of a number?

For understanding the divisibility rules for any number we have to know its divisibility with numbers like 2, 3, 4, 5, 9, 10 and 11. On the off chance that the ones digit or unit’s place digit of a number is either 0, 2, 4, 6 or 8 then the number is said to be divisible by 2.

**Are there any numbers that are always divisible by 5?**

Numbers, which last with digits, 0 or 5 are always divisible by 5. Example: 10, 10000, 10000005, 595, 396524850, etc. Divisibility Rule of 6 Numbers which are divisible by both 2 and 3 are divisible by 6.

**What are the divisibility rules for 3, 6 and 9?**

The divisibility rules of 3, 6, and 9 are given below: 1 Divisibility rule of 3 – The sum of all the digits of the number should be divisible by 3 2 Divisibility rule of 6 – Number should be divisible by both 2 and 3 3 Divisibility rule of 9 – The sum of all the digits of the number should be divisible by 9