The divisibility theorem The divisibility of a number will always be the divisibility of its co- prime factors In others words if you can find the divisibility of a number , its co prime factors will show the same divisibility rule - Application is huge . we can find easily the divisibility of number close to 10's i.e 9,11,99,101,1001,999 take a number abcd divisibility of 99 will be as ab*100+cd mod 99=ab+cd same will be the divisibility check for 9,11similarly num like 1001 has 7 as its one factors so the divisibilty check becomes fun :)
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