How to find if a number is divisible by the number 6?

The rule for the divisibility test by six is you have to check whether the given number is divisible by two as well as divisible by three. 

This means that the number should be divisible by two and divisible by three. 

What should be careful while carrying out the rules to test of divisibility of the number 6?

If the number is divisible by two but not divisible by three or if the number is not divisible by two but divisible by three, in that case, the number will not be divisible by 6. 

Example 1: Verify whether the number 73020 is divisible by the number 6?

Solution: Step 1:  To see if the number is 73020 is divisible by 6, first, you need to check whether the number is divisible by two or not

The unit digit of the number is zero. Since it is even, the number 73020 is divisible by 2.

Step 2: Now, we have to check if the number 73020 is divisible by three or not

7+3+0+2+0= 12.

After adding all the numbers, we got 12. Now, 12 is multiple of three. Therefore, the number 73020 is divisible by three.

Step 3: Since the number is divisible by two as well as 3, so the number 73020 is divisible by six. 

Example 2: Can the lengthy 6-digit number 143012 be divtopicIded by the number 6? 

Solution: Step 1: To see if the number 143012 is divisible by six or not, first we will check the divisibility by two. Here, the unit digit of a number is two. Since it is even, so the number 143012 is divisible by two.

Step 2: Now, we have to check the divisibility by 3. 

1+4+3+0+1+2= 11

After adding the numbers, we got 11. Now, 11 is not a multiple of three therefore the number 143012 is not divisible by three.

Step 3: Since the number 143012 is divisible by two but not divisible by three, so it will not be divisible by six. 

How to find if a number is divisible by the number 9: 

Step 1: For checking the divisibility by 9, you need to add all the digits of the given number. 

Step 2: After adding the number you have to see whether the sum is the multiple of nine or not. Step 3: If the sum is multiple of nine then the number is divisible by nine otherwise not.

Example 3: Is it possible to divtopicIde the number 8989452 by the number 9? 

Solution: Step 1: For checking the divisibility of 9, we need to add all the digits of the given number.

8+9+8+9+4+5+2= 45 

The sum of integers is 45. Since 45 is a multiple of nine so the number 8989452 is divisible by nine.

Example 4: What are the steps to check whether 79503 is divisible by the number 9?

Solution: First, we will add all the digits of the given number

7+9+5+0+3 = 24 

The sum of integers is 24. Since 24 is not a multiple of nine, so the number 79503 is not divisible by nine. 

A mixed problem: Find out whether the number 457932 is divisible by six and nine?  

Solution: Let us first check the divisibility by 6: 

Step 1: The last digit of 457932 is 2 which is even. So it is divisible by 2. 

Step 2: Now we will check divisibility by three.

               4+5+7+9+3+2= 30 

               The sum of integers is 30. Hence, 30 is a multiple of three so it is divisible by 3

Step  3: Since 457932 is divisible by both 2 and 3. So it is divisible by 6

Divisibility by 9:

Step 1: For checking the divisibility of nine, we need to add all the digits of a given number.

4+5+7+9+3+2= 30. The sum of integers is 30. Since 30 is not a multiple of 9. So, 457932 is not divisible by 9.