Question

Find a smallest five digit number which is exactly divisible by 254

Answer 1

Answer:

The required number 5- digit number exactly divisible by 254 is 10160.

Step-by-step explanation:

Given : A smallest five digit number which is exactly divisible by 254.

To find : A smallest five digit number?

Solution :

The smallest 5-digit number is 10000.

To find the the number divisible by 254.

We have to find the remainder of dividing 10000 by 254 so that we subtract that from the original number and the result we get is the required number.

We divide 10000 by 254 by long division method.

Refer the attached figure below for the steps of long division.

The remainder is 94.

Subtract 94 from 254 and then add 10000

i.e. 10000+(254-94)=10160

Therefore, The required number 5- digit number exactly divisible by 254 is 10160.

Answer 2

Answer:

smallest five digit number which is exactly divisible by 254 is 10160

Step-by-step explanation:

$Smallest \:five\:digit \:number = 10000$

254)10000(39

******762

____________

******2380

******2286

____________

*******(94)

Required smallest 5 digit number = 10000+(254-remainder)

= 10000+160

= 10160

[ 10160 = 254 ×40]

Therefore,

smallest five digit number which is exactly divisible by 254 is 10160

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