Question

Determine if 263921 is divisible by 3.​

Answer 1

Question :- Determine if 263921 is divisible by 3. ?

Solution :-

first we will use divisibility rule of 3 to check if 263921 is divisible by 3 or not. Than , we will verify our answer by Long division method.

Divisibility rule of 3 :-

• If the sum of the digits of a number is divisible by 3, then the number is divisible by 3.
• Example :- 105 = 1 + 0 + 5 = 6 divisible by 3, therefore, 105 also divisible by 3.

checking sum of given number now,

→ 263921

→ 2 + 6 + 3 + 9 + 2 + 1

→ 8 + 12 + 3

→ 20 + 3

→ 23

again, checking for 23 now,

→ 23

→ 2 + 3

→ 5

as, we know that, when we divide 5 by 3, we get 2 as a remainder. So, by Divisibility rule of 3 we can say that, 23 is not divisible by 3 .

Therefore, we can conclude that, 263921 also not divisible by 3.

Verification :-

3 ) 263921 ( 87973

-24

23

-21

29

-27

22

-21

11

-9

2

→ Quotient = 87973

→ Remainder = 2.

Hence, 263921 is not divisible by 3.

Learn more :-

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Target Olympiad

1. Find the values of A and B if the given number 7A5798B8 is divisible by 33.

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Answer 2

Given:

Determine if 263921 is divisible by 3.

Solution:

Divisibility Rule of 3:

If the sum of the given digits is divisible by 3, then the given number is also divisible by 3.

Let's Find out the sum of the given digits:

Given: 263921

=> 2 + 6 + 3 + 9 + 2 + 1

=> 23

So, The sum of the given digits is 23.

The sum of the digits 23 is not divisible by 3. Hence, 263921 is not divisible by 3.

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