Definition of Test of divisibility: Test of divisibility is an easy way to know which number would be divisible by another number, without the need of divtopicIding them. 

There are certain rules of divisibility we have to follow to determine which number is divisible by another. 

What is a divtopicIdend?

The divtopicIdend is the number that is divtopicIded by another number. Any division technique starts with the divtopicIdend. It occurs in the numerator (on the top).

How to find if a number is divisible by 2? / Divisibility by 2:

For the divisibility of two, we have to see the unit digit or last digit of the number. If the unit digit of the divtopicIdend is an even number (0, 2, 4, 6, 8) then the number is divisible by two.

Example 1: Can we know whether the number 6784 is divisible by the number two? 

Solution: In 6784, The last digit or the unit digit of the number is 4 i.e., even. 

So, 6784, is divisible by two.

Example 2: Is there a mental trick to find out whether a 5-digit number 84567 is divisible by two? 

Solution: In 84567, the last digit or the unit digit of the number is 7 i.e., odd.

So, 84567, is not divisible by two.

How to find if a number is divisible by 3? / Divisibility by 3: 

For the divisibility of three:

Step 1: We have to add all the numbers given in the divtopicIdend. 

Step 2: After that, we have to check whether the added number or the sum is a multiple of three or not. 

Step 3: If the added number is multiple of three, then it will be divisible by three otherwise not. 

Example 3: How to determine using the test of divisibility whether the number 5679 is divisible by the number 3?

Solution: Step 1: 5 + 6 + 7 + 9 = 27

Step 2: 27 comes in a multiplication table of three. It is a multiple of three.   

So, 5679 is divisible by three. 

Example 4: Can you verify if the number 67801 is divisible by three? 

Solution: Step 1: 6+ 7+ 8+ 0+ 1= 22

Step 2:    22 doesn’t come in the table of three. It is not a multiple of three.

So, 67801, is not divisible by three. 

How to find if a number is divisible by 4? / Divisibility by 4:

For the divisibility of four:

Step 1: We need to take the last two digits of the divtopicIdend or the number given. 

Step 2: We have to check whether the two numbers are multiple of four or not. 

Step 3: If they are multiple of four then the number will be divisible by four otherwise not.

Example 5: Can you use quick technique to find out whether the number 78044 is divisible by four?

Solution: Step 1: The last four digits of the number 78044 are 44.

Step 2:  44 comes in the table of four (11 * 4 = 44) 

Since the last two digits of the number 78044 are multiple of four. Therefore, we can say that 78044 is divisible by 4.

How to find if a number is divisible by 5? / Divisibility by 5: 

For divisibility of five:

Step 1: You have to check the last digit or the unit digit of a number. 

Step 2: If the unit digit of a number or the divtopicIdend is zero or five, then the number is divisible by five otherwise not. 

Example 6: Can we find out whether the number 45005 is divisible by five? 

Solution: The unit digit of the number 45005 is five.

So, the number 45005 is divisible by five.  

Example 7: How to apply divisibility test to determine whether the number 789054 is divisible by five?  

Solution: The unit digit of the number 789054 is 4. So here, the unit digit is neither zero nor five.

So, the number 789054 is not divisible by five.

Mixed bag problem: Can you use the divisibility test to check if the number 89680 is divisible by the numbers 2, 3, 4, and 5?

Solution: Divisibility by two: The last digit of the number 89680 is zero. As the last digit is even, therefore, it is divisible by two. 

Divisibility by 3:   8+9+6+8+0 = 31

Since 31 it’s not a multiple of three. The number 89680 is not divisible by three. 

Divisibility by 4: The last two digits of the number 89680 are 80. Since 80 is divisible by four. So, the number 89680 is divisible by four. 

Divisibility by 5: The last digit of the number 89680 is 0. Since the last digit is zero, 89680 is divisible by five.