Question

2. Find the Remainder when 12345678901234 when divided by 16?​

Answer 1

Given: A number 12345678901234

To find: The remainder, when 12345678901234 is divided by 16

Solution: According to the given question,

Dividend = 12345678901234

and Divisor = 16

We know that,

∵ Dividend = Divisor × Quotient + Remainder

Now, 12345678901234 can be expressed as:

12345678901234 = 16 × 771604931327 + 2

On comparing this expression with (Dividend = Divisor × Quotient + Remainder), we get

Quotient = 771604931327

Remainder = 2

Hence, the remainder when 12345678901234 is divided by 16 is 2.

Answer 2

We have to find out the remainder, when 12345678901234 is divided by 16

Dividend = 12345678901234        ( given)

Divisor = 16                                      ( given)

We know that:-

Dividend = Divisor × Quotient + Remainder

Now we can express  12345678901234 as:-

12345678901234 = 16 × 771604931327 + 2

{Here Dividend =12345678901234

Divisor = 16

Quotient $=771604931327$

Remainder=2}.

Hence, the remainder when 12345678901234 is divided by 16 is $2.$

Ans:- The Remainder when 12345678901234 when divided by 16 will be 2.