Divisibility Rule of 2


 
 
Concept Explanation
 

Divisibility Rule of 2

Divisibility Rule of 2:

 A number is divisible by 2, if its units digits is an even digit i.e. 0.2,4,6, or 8

Justification:

Let n be any natural number. Then according to the general form it can be represented as,

                 n = 10a + b, where b is units digit of n.

Now 10a is an even number because 10 has a factor 2 and any multiple of 10 will have a factor 2 

And the sum of two even numbers is an even number, whereas the sum of an even number and an odd number is an odd number.

Therefore, n = 10a + b is even if b is an even digit.

Hence Test of Divisibility By 2 i.e. a number is divisible by 2, if its units digits is an even digit i.e. 0.2,4,6, or 8 is justified.

Illustration:  Let n be a natural number. If the division n+2 leaves a remainder of 1, what might be the units digit of n?

Solution:  Since the division  ndiv 2 leaves a remainder of 1. So, n must be an odd natural number. Hence, its units digit can be 1,3,5,7 or 9.

Sample Questions
(More Questions for each concept available in Login)
Question : 1

 Which of the following number is divisible by 2?

236745 ,  566754 , 195687, 346554 , 324516 , 432142

Right Option : D
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Explanation
Question : 2

If Q/2 leaves a remainder of 1 what might be the ones digit of Q ?

Right Option : D
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Explanation
Question : 3

Which of the following number is divisible by 2?

Right Option : C
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Explanation
 
 


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