**Divisibility by 15 questions :**

All the numbers which are divisible by 3 and divisible by 5 are divisible by 15.

Whenever we need to check whether the given number is divisible by 3 or not.Fist we have to calculate the sum of the digits.If the sum of the digits is divisible by 3, then the given number is divisible by 3.

All the numbers ending in 0 or 5 are divisible by 5.If it is satisfying these conditions then we can say a particular number will be divisible by 15.

(1) Check whether the number 1335 is divisible by 15.

(2) Check whether the number 2175 is divisible by 15.

(3) Check whether the number 27945 is divisible by 15.

(4) Check whether the number 10505 is divisible by 15.

**Question 1 :**

Check whether the number 1335 is divisible by 15.

**Solution :**

To check if the given number is divisible by 3, let us find the sum of the digits.

1 + 3 + 3 + 5 = 12

12 is divisible by 3. Now we need to check if the given number is divisible by 5. For that first we have to look at the unit digit of the given number.

Since the unit digit of the given number is 5, it is divisible by 5.

Hence, the given number 1335 is divisible by 15.

**Question 2 :**

Check whether the number 2175 is divisible by 15.

**Solution :**

To check if the given number is divisible by 3, let us find the sum of the digits.

2 + 1 + 7 + 5 = 15

15 is divisible by 3.

Now we need to check if the given number is divisible by 5. Since the unit digit of the given number is 5, it is divisible by 5.

Hence, the given number 2175 is divisible by 15.

**Question 3 :**

Check whether the number 27945 is divisible by 15.

**Solution :**

To check if the given number is divisible by 3, let us find the sum of the digits.

2 + 7 + 9 + 4 + 5 = 27

27 is divisible by 3.

Now we need to check if the given number is divisible by 5.Since the unit digit of the given number is 5, it is divisible by 5.

Hence, the given number 27945 is divisible by 15.

**Question 4 :**

Check whether the number 10505 is divisible by 15.

**Solution :**

To check if the given number is divisible by 3, let us find the sum of the digits.

1 + 0 + 5 + 0 + 5 = 11

27 is not divisible by 3.

Hence, the given number 10505 is not divisible by 15.

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