Table of Contents

- 1 Is any number divisible by 6 also divisible by 3?
- 2 Which number is divisible by if it is divisible by both 3 and 6?
- 3 What are 3 numbers that are divisible by 6?
- 4 Are there any numbers that are divisible by 3?
- 5 Is the number 24 divisible by 3 or 6?
- 6 Are there any numbers that are not divisible by 9?

## Is any number divisible by 6 also divisible by 3?

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.

### Which number is divisible by if it is divisible by both 3 and 6?

(c) A number is divisible by 18 if it is divisible by both 3 and 6. (d) If a number is divisible by 9 and 10 both, then it must be divisible by 90.

#### What are 3 numbers that are divisible by 6?

Consider the following numbers which are divisible by 6, using the test of divisibility by 6: 42, 144, 180, 258, 156. [We know the rules of divisibility by 2, if the unit’s place of the number is either 0 or multiple of 2]. 42 is divisible by 2.

**Which of the following number is divisible by 3 but not by 6 *?**

Option( a) 123 is divisible by 3 but not by 6…….

**What are the rules for the divisibility of 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. Step 1: Determine if the number is even. It ends in 8, so this number is even.

## Are there any numbers that are divisible by 3?

NO According to rule of divisibility A number is divisible by 3 if the sum of the integer is divisible by 3. Example 1. 123; 1+2+3 = 6 6 is divisible by 3 therefore, 123 is divisible by 3 Example 2. 122; 1+2+2 = 5 5 is not divisible by 3 therefore…

### Is the number 24 divisible by 3 or 6?

Step 3: 24 is divisible by 3 because 3 x 8 = 24. Step 4: Because the number is divisible by 2 and 3, it is also divisible by 6. The Rule for 9: The prime factors of 9 are 3 and 3. So we can use a very similar rule to determine if a number is divisible by 9.

#### Are there any numbers that are not divisible by 9?

All numbers divisible by 9 are divisible by 3; since 9 = 3 x 3 all multiples of 9 are also multiples of 3. However, all numbers divisible by 3 are not divisible by 9, eg 6 = 2 x 3 but 6 is not divisible by 9 (since 6 is not a multiple of 9) – it only takes one counter example to disprove a theory.