Question

When number 123456789101112131415 is divided by 16, the remainder will be?

Answer 1

Answer:

Step-by-step explanation:

123456789101112131415  = 123456789101112130000  + 1415

                                         = 12345678910111213x10000+1415

                                        = 12345678910111213 x225x16  + 1415

                                       =multiple of 16    + 1415

required remainder     = remainder when 1415 divided by 16

                                         

1415   = 1408 +7

          =88x16   + 7

so remainder is  7

Answer 2

Given:

When the number 123456789101112131415 is divided by 16,

To Find:

The remainder will be

Solution:

It is given that the number 123456789101112131415 is divided by 16 and we need to find the remainder when divided by the number 16.

First, we should know that for a number to be divisible by 16 the last four digits need to be divisible by 16 not the whole number, so in the given number only the last four digit that is 1415 needs to be divided by 16 to get the remainder,

So

Remainder( 123456789101112131415/16 )= Remainder( 1415/16 )

the remainder is,

1415= 16*88+7

Hence, the remainder when 123456789101112131415 is divided by 16 is 7.