Table of Contents

- 1 What is the smallest number divisible by both 6 and 9?
- 2 Which is the greatest 3 digit number divisible by both 3 and 9?
- 3 Which of the following number are divisible by both 3 and 9?
- 4 What is the greatest number between 6 9 and 12 divisible?
- 5 What is the largest three digit number that is divisible by both 3 and 6?
- 6 What is the largest 3 digit number divisible by both 2 and 3?
- 7 Are all numbers divisible by 9 also divisible by 3?
- 8 Are all numbers divisible by 3 also divisible by 6?

## What is the smallest number divisible by both 6 and 9?

18

Step 3: The smallest common multiple of 6 and 9 is 18.

## Which is the greatest 3 digit number divisible by both 3 and 9?

Now we will find the largest 3-digit number that is a multiple of 9. The largest 3 digit number is 999, we can see that 999 is divisible by 9 because it satisfies the divisibility rule for 9. The sum of digits of 999 is 27 and 27 is divisible by 9.

**What is the greatest 3 digit number divisible by 6?**

The largest 3-digit number divisible by 6 is 996.

### Which of the following number are divisible by both 3 and 9?

Consider the numbers 2, 23, 234, 2345, 23456, 234567.

### What is the greatest number between 6 9 and 12 divisible?

Answer: Required Number is 975.

**What is the smallest number divisible by 9?**

Hence, the smallest 4-digit number divisible by 9 is 1008.

## What is the largest three digit number that is divisible by both 3 and 6?

E.g. Using the digits 7, 3, and 6, the largest number is 763 (digits in descending order) and the smallest number is 367 (digits in ascending order). Using the digits 4, 0, and 8, the largest number will be 840 but the smallest 3-digit number is 408 and not 048.

## What is the largest 3 digit number divisible by both 2 and 3?

Now greatest 3 digit number is 999 .

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

A number is divisible by 3 if the sum of its digits is divisible by 3. A number is divisible by 9 if the sum of its digits is divisible by 9. And a number is divisible by 6 if it is divisible by 2 (even number) and by 3. Back to the game.

### Are all numbers divisible by 9 also divisible by 3?

Every number divisible by 9 is divisible by 3. For example, 7425 is divisible by 9, hence it is divisible by 3. However, a number divisible by 3 is not necessarily divisible by 9. For example 6, 12, 15, 21, 24, 30 are all divisible by 3 but none of them is divisible by 9.

### Are all numbers divisible by 3 also divisible by 6?

Answer: Yes. 6 = 2*3, so any number divisible by 6 must be divisible by both 2 and 3, hence must be divisible by 3.

**Which of the following numbers is divisible by 6?**

Consider the following numbers which are divisible by 6, using the test of divisibility by 6: 42, 144, 180, 258, 156.