Question

Find the smallest number that should be added to 3589 to make it divisible by 32 .​

Answer 1

Answer:

3589÷32=112.43

then 32×113=3616

hence 3616-3589=18 (ans)

Answer 2

By division algorithm

Dividend = (Divisor × quotient) + remainder

Here, we have to make remainder 0

So,

3589 = 32 × 112 + 5

=> 3589 = 32 × 112 + 32 × 1 - 32 × 1 + 5

=> 3589 = 32 × 113 - 27

=> 3589 + (27) = 32 × 113 + 0

On comparing it with division algorithm,

If we add 27 to the given number, we get

3616 = 32 × 113

Hence, the number is perfectly divisible by 32.

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