Divisibility Rule of 2
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 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.
which of the folowing numbers are divisible by 2 | |||
| Right Option : C | |||
| View Explanation |
If Q/2 leaves a remainder of 1 what might be the ones digit of Q ? | |||
| Right Option : D | |||
| View Explanation | |||
Which of the following number is divisible by 2? 655, 542, 987,451 | |||
| Right Option : B | |||
| View Explanation | |||
Students / Parents Reviews [20]
Abhyas institute is one of the best coaching institute in the vicinity of Ambala Cantt area. The teachers of the institute are well experienced and very helpful in solving the problems of the students.The good thing of the institute is that it is providing extra classes for the students who are w...
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