A number is divisible by 2 if the digit at unit place is either 0 or multiple of 2.
So a number is divisible by 2 if digit at its units place is 0, 2, 4, 6 or 8.
Numbers divisible by 2 are called even numbers.
Numbers not divisible by 2 are called odd numbers.
Let us consider some of the following numbers which are divisible by 2 using the divisibility test.
346, 218, 106, 100, 194, 152 here all these number is divisible by 2 because their units place is either 0 or multiple of 2.
Similarly, the numbers 14, 64, 86, 102, 568, 120 etc. is divisible by 2 because their units place is either 0 or multiple of 2.
Similarly again, 182, 198, 200, 100, 406, 304 are also divisible by 2 because their units place is either 0 or multiple of 2.Again let us consider,
317, 125, 103, 159 etc. here all these number is not divisible by 2 because their units place is not multiple of 2.
Similarly, the numbers 141, 63, 87, 105, 563, 129 etc. is not divisible by 2 because their units place is not multiple of 2.
Similarly again, 111, 199, 203, 101, 405, 307 are also not divisible by 2 because their units place is not multiple of 2.
For example:
1. Determine the following numbers which are divisible by 2, using the test of divisibility by 2:
(i) 176, (ii) 221, (iii) 327, (iv) 90, (v) 192
Solution:
(i) 176
We know the rules of divisibility by 2, if the unit’s place of the number is either 0 or multiple of 2.
Here, in 176 the unit place is 6 and 6 is divisible by 2.
Hence, 176 is divisible by 2.
(ii) 221
We know that a number is divisible by 2, if the unit’s place of the number is either 0 or multiple of 2.
Here, in 221 the unit place is 1 and 1 is not divisible by 2.
Hence, 221 is not divisible by 2.
(iii) 327
We know that a number is divisible by 2, if the unit’s place of the number is either 0 or multiple of 2.
Here, in 327 the unit place is 7 and 7 is not divisible by 2.
Hence, 327 is not divisible by 2.
(iv) 90
We know that a number is divisible by 2, if the unit’s place of the number is either 0 or multiple of 2.
Here, in 90 the unit place is 0 and 0 is divisible by 2.
Hence, 90 is divisible by 2.
(v) 192
We know that a number is divisible by 2, if the unit’s place of the number is either 0 or multiple of 2.
Here, in 192 the unit place is 2 and 2 is divisible by 2.Hence, 192 is divisible by 2.
Consider the multiples of 2: 2, 4, 6, 8, 10, 12, 14, 16, 18, 20, ............
In each of these multiples the digit in the units place is 2, 4, 6, 8 or 0.
A number is divisible by 2 if the digit in the units place is 2, 4, 6, 8 or 0.
2. Is 715632 divisible by 2?
The last digit of the number is 2.
Hence it is divisible by 2.
Questions and Answers on Divisible by 2:
I. Which of the following numbers are divisible by 2?
(i) 3642
(ii) 2431
(iii) 897
(iv) 4218
(v) 3614
(vi) 24860
(vii) 1111
(viii) 1984
Answer:
I. (i) 3642
(iv) 4218
(v) 3614
(vi) 24860
(viii) 1984
2. Find the smallest number that should be subtracted from the following numbers to get a number divisible by 2?
(i) 85
(ii) 63
(iii) 1529
Answer:
2. (i) 1
(ii) 1
(iii) 1
Problems on Divisibility Rules
Worksheet on Divisibility Rules
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