find the smallest 6 digit number,which is exactly divisible by 527 - Maths -

Question

find the smallest 6 digit number,which is exactly divisible by
527 ?

Priyanka Kedia · Accepted Answer

$L e t t h e s m a l l e s t 6 d i g i t n u m b e r = 100000 . S o, 527 \begin{array}{r} 189 \\ 100000 \\ \underset{̲}{99603} \\ 397 \end{array}$

$T h u s, t h e l e a s t n u m b e r w h i c h w i l l b e a d d e d t o 100000 s o t h a t n u m b e r i s e x a c t l y d i v i s i b l e b y 527 = 527 - 397 = 130 H e n c e, t h e s m a l l e s t 6 d i g i t n u m b e r w h i c h i s e x a c t l y d i v i s i b l e b y 527 = 100000 + 130 = 100130$

find the smallest 6 digit number,which is exactly divisible by 527 ?