Divisible by 5
This topic on divisible by 5 will discuss on the divisibility rule of 5 and illustrate few example on the same.
Divisibility Rule of 5: If a number ends with 0 or 5 then the number is divisible by 5.
For Example: 550
Since the number ends with 0 hence the number is divisible by 5
Here are few examples on the divisibility rule of 5
1. State whether the following numbers are divisible by 5 or not and why?
(i) 550
(ii) 630
(iii) 785
(iv) 654
(v) 421
(vi) 3650
(vii) 4201
(viii) 4525
(ix) 5255
(x) 4530
Solution:
(i) 550
550 is divisible by 5 as the last digit is 0
(ii) 630
630 is divisible by 5 as the last digit is 0
(iii) 785
The last digit is 5 hence the number is divisible by 5
(iv) 654
The last digit is 4 not 0 or 5 hence the number is not divisible by 5
(v) 421
421 is not divisible by 5 as the last digit is not 0 or 5
(vi) 3650
3650 is divisible by 5 as the last digit is 0
(vii) 4201
The last digit is 1 not 0 or 5 hence the number is not divisible by 5
(viii) 4525
The last digit is 5 hence the number is divisible by 5
(ix) 5255
5255 is divisible by 5 as the last digit is 5
(x) 4530
4530 is divisible by 5 as the last digit is 0
2. Rewrite the series with the numbers that are divisible by 5 with a different color.
50 896 535 2200 750 4565 8592 1250 3200 4401 4540 630 754
Solution:
50 896 535 2200 750 4565 8592 1250 3200 4401 4540 630 754
3. Fill in the blanks with digit such that the number becomes divisible by 5:
(i) 55 ….
(ii) …. 65
(iii) 75 ….
(iv) 95 ….
(v) 33….
(vi) 11 ….
(vii) 59 ….
(viii) 42 ….
(ix) 4 …. 5
(x) 89 ….
Solution:
(i) 550
(ii) 165
(iii) 750
(iv) 950
(v) 335
(vi) 110
(vii) 595
(viii) 425
(ix) 455
(x) 890
Explanation:
The last two digits should be filled in with either 5 or 0. The digits at other places can be filled by any digit.
4. State why the following numbers are divisible by 5?
(i) 455
(ii) 650
(iii) 890
(iv) 1005
(v) 505
(vi) 275
(vii) 930
(viii) 2020
(ix) 5640
(x) 7535
Solution:
(i) 455
The last digit is 5 hence the number is divisible by 5
(ii) 650
The last digit is 0 hence the number is divisible by 5
(iii) 890
0 is the last digit hence 890 is divisible by 5
(iv) 1005
The last digit is 5 hence the number is divisible by 5
(v) 505
5 is the last digit hence 505 is divisible by 5
(vi) 275
The last digit is 5 hence the number is divisible by 5
(vii) 930
0 is the last digit hence 890 is divisible by 5
(viii) 2020
2020 is divisible by 5 since the last digit is 0
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