Verify the following: If abc is a three-digit number, then ( abc + cab + bca ) will be - Maths - Integers

Question

Verify the following:

If abc is a three-digit number, then ( abc + cab + bca ) will
be a multiple of 3 and 37

Shruti Tyagi · Accepted Answer

Dear Student,

any 3 digit number abc can be written as 100a+10b+cHence we got abc+cab+bca⇒100a+10b+c+100c+10a+b+100b+10c+a⇒111a+111b+111c⇒111×a+b+cnow factors of 111 are 3×37Hence abc+cab+bca=3×37×a+b+ctherefore the number abc+cab+bca is divisible by 3 and 37

Regards,

Verify the following: If abc is a three-digit number, then ( abc + cab + bca ) will be a multiple of 3 and 37.

Verify the following:

If abc is a three-digit number, then ( abc + cab + bca ) will be a multiple of 3 and 37.