Question

Test the divisibility by 3. a) 314 b) 915​

Answer 1

Answer:

Hey there!

Ur answer

We know,

A number is divisible by 3, if the sum of its all digits is a multiple of 3 or divisibility by 3.

a) 314

→ 3 + 1 + 4 = 8

8 is not divisible by 3. So, 314 is also not divisible by 3.

b) 915

→ 9 + 1 + 5 = 15

15 is divisible by 3. So, 915 is also divisible by 3.

Hope it helps you

$\:$

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Answer 2

To solve  : test the divisibility by $3$ of following :

                  a) $314$ b) $915$

Solution :

• In the given question we are asked to test the divisibility by $3$ of given numbers .
• Test of divisibility for $3$ : according to test a number is divisible by $3$ if sum of digits is divisible by $3$  .

• Therefore we first find sum of its digits and then whether the sum is divisible by $3$ or not .

     a) $314$

        $3 + 1 +4 = 8$

• Since , sum $8$ is not divisible by $3$ , we can say that number $314$ is not  divisible by $3$ .

    b) $915$

         $9 + 1 +5 = 15$

• Since , sum $15$ is divisible by $3$ , we can say that number $915$ is   divisible by $3$ .  

Hence , only number $915$ is divisible by $3$ .