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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