This topic would deal with the divisibility rule of 2 and few sums on divisibility rule of 2.
Numbers that are ending with 0, 2, 4, 6, and 8 are divisible by 2. That means numbers ending with 0 or multiples of 2 are divisible by 2. We know that numbers which are multiples of 2 are even numbers. Hence we can say that all even numbers are divisible by 2.
Numbers ending with odd numbers like 1, 3, 5, 7, and 9 are not divisible by 2.
Here are few examples on divisibility rule of 2.
1. Choose the numbers that are divisible by 2 and state why?
12 67 44 90 89 76 23 24
Solution:
12 is divisible by 2 as the last digit is an even number.
67 is not divisible by 2 as the last digit is an odd number.
44 is divisible by 2 as the digit in the unit’s place is 4
90 is divisible by 2 as the last digit is zero
89 is not divisible by 2 as the last digit is an odd number
76 is divisible by 2 as the digit at units place is an even
23 is not divisible by 2 as the number ends with an odd number
24 is divisible by 2 as the last digit is an even number
2. State why the following numbers are divisible by 2?
(i) 900
(ii) 884
(iii) 3466
(iv) 7542
(v) 8828
Solution:
(i) 900 ends with the digit 0 hence it is divisible by 2
(ii) 884 ends with an even number hence it is divisible by 2
(iii) 3466 is divisible by 2 as the last digit is a multiple of 2
(iv) 7542 is divisible by 2 as the digit at unit place is 2
(v) 8228 end with a multiple of 2 hence it is divisible by 2
3. Fill in the blanks to make the numbers divisible by 2
(i) 3 …. 8
(ii) 85 ….
(iii) 72 ….
(iv) …. 46
(v) 2 ….2
(vi) 9 …. 0
(vii) 24….
(viii) 10 ….
(ix) 40 ….
(x) 36 ….
Solution:
(i) 358
(ii) 852
(iii) 724
(iv) 746
(v) 212
(vi) 970
(vii) 244
(viii) 100
(ix) 404
(x) 366
4. State which of the numbers are divisible by 2 and state why?
(i) 45633
(ii) 4102
(iii) 7500
(iv) 3620
(v) 4513
(vi) 7458
(vii) 3221
Solution:
(i) 45633 is not divisible by 2 as the last digit is an odd number
(ii) 4102 is divisible by 2 as the last digit is an even number
(iii) 7500 is divisible by 2 as the digit in the unit’s place is 2
(iv) 3620 is divisible by 2 as the last digit is 0
(v) 4513 is not divisible by 2 as the last digit is an odd number
(vi) 7458 is divisible by 2 as the last digit is an even number
(vii) 3221 is not divisible by 2 as the last digit is not a multiple of 2
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