Table of Contents

- 1 Which of the following numbers are divisible by both 3 and 9?
- 2 Why is a number divisible by 9 also divisible by 3?
- 3 How many of the following numbers are divisible by 3 but not 9?
- 4 What are the numbers that are divisible by 9?
- 5 Are all numbers divisible by 3?
- 6 What is the divisible of 9?
- 7 What is the divisibility rule of 9?
- 8 Which number is not divisible by 9?
- 9 What is the divisibility of 9 by 3?
- 10 How do you find divisibility by 3?
- 11 What are the rules for divisibility?

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

Answer: 235674 is divisible by both 3 and 9.

## Why is a number divisible by 9 also divisible by 3?

Step-by-step explanation: Since 9 is divisible by 3, every number divisible by 9 will be also be divisible by 3. This happens because in the divisibilty test formula of 9, the sum of the digits should be divisible by 9.

**How many three digit numbers are there which are divisible by 9?**

100 three-digit numbers

Hence, there are 100 three-digit numbers divisible by 9.

### How many of the following numbers are divisible by 3 but not 9?

Taking the sum of the digits, we have : S1 = 9, S2 = 12, S3 = 18, S4 = 9, S5 = 21, S6 = 12, S7 = 18, S8 = 21, S9 = 15, S10 = 24. Clearly, S2, S5, S6, S8, S9, S10 are all divisible by 3 but not by 9. So, the number of required numbers = 6.

### What are the numbers that are divisible by 9?

List of Numbers Divisible by 9. There are 11 numbers less than 100 that are divisible by 9: 9, 18, 27, 36, 45, 63, 72, 81, 90 and 99.

**Which of the following numbers is divisible by 3 but not by 9?**

5 + 2 + 7 + 1 = 15 which is divisible by 3 , but not divisible by 9.

## Are all numbers divisible by 3?

The rule for divisibility by 3 works for all numbers no matter how large. Add the digits of the number and check if this result is also divisible by 3. We add the individual digits of the number 7, 749, 984.

## What is the divisible of 9?

A number is divisible by 9, if the sum is a multiple of 9 or if the sum of its digits is divisible by 9. Consider the following numbers which are divisible by 9, using the test of divisibility by 9: 99, 198, 171, 9990, 3411. Sum of the digits of 99 = 9 + 9 = 18, which is divisible by 9.

**How many three digit numbers are there divisible by 3?**

The three digit natural numbers start from 100 and ends with 999 . The first three-digit number which is divisible by 3 is 102 . The last three-digit number which is divisible by 3 is 999 . The number of three-digit numbers divisible by 3 are 3999 − 3102 + 1 = 333 − 34 + 1 = 300 .

### What is the divisibility rule of 9?

Divisibility Rule of 9 That is, if the sum of digits of the number is divisible by 9, then the number itself is divisible by 9. Example: Consider 78532, as the sum of its digits (7+8+5+3+2) is 25, which is not divisible by 9, hence 78532 is not divisible by 9.

### Which number is not divisible by 9?

Consider the following numbers which are not divisible by 9, using the rules of divisibility by 9: 73, 237, 394, 1277, 1379. Sum of the digits of 73 = 7 + 3 = 10, which is not divisible by 9.

**What are divisible by 3?**

List of Numbers Divisible by 3. Here is a list of 2-digit numbers less than 100 that are divisible by 3: 3, 6, 9, 12, 15, 18, 21, 24, 27, 30, 33, 36, 39, 42, 45, 48, 51, 54, 57, 60, 63, 66, 69, 72, 75, 78, 81, 84, 87, 90, 93, 96 and 99.

## What is the divisibility of 9 by 3?

Divisibility by 3. 9 is 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.

## How do you find divisibility by 3?

A number is divisible by 3 if the sum of its digits is divisible by 3. For example: 58302 is divisible by 3 because the sum of its digits (5 + 8 + 3 + 0 + 2) is divisible by 3. 69145 is not divisible by 3 because the sum of its digits (6 + 9 + 1 + 4 + 5) is not divisible by 3.

**What is the sum of all numbers 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. 58302 is divisible by 3 because the sum of its digits (5 + 8 + 3 + 0 + 2) is divisible by 3. 69145 is not divisible by 3 because the sum of its digits (6 + 9 + 1 + 4 + 5) is not divisible by 3. Click to see full answer

### What are the rules for divisibility?

For the rest, it might just be simpler to actually divide. Here is a look at the rules for 3, 6, and 9. The Rule for 3: A number is divisible by 3 if the sum of the digits is divisible by 3.