Remainder
Written on 12:02 am by Vja Students
What is the remainder left after dividing 1!+2!+3!+.....+100! by 7 ?
Answer::
7! onwards all terms are divisible by 7 as 7 is one of the factor. So there is no remainder left for those terms i.e. remainder left after dividing 7! + 8! + 9! + ... + 100! is 0.
1!+2!+3!+...+100!=
1+2+6+24+120+720+0=873