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 P/2 leaves a remainder of 1 what might be the ones digit of P ? | |||
| Right Option : B | |||
| View Explanation | |||
Which of the following number is divisible by 2? 345, 654 ,987,451 | |||
| Right Option : A | |||
| View Explanation | |||
Students / Parents Reviews [20]
We started with lot of hope that Abhyas will help in better understnding of complex topics of highers classes. we are not disappointed with the progress our child has made after attending Abhyas. Though need to mention that we expected a lot more. On a scale of 1-10, we would give may be 7.
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