Question

1!+2!+3!+...+100! is divided by 7​

Answer 1

Answer:

721.4

Step-by-step explanation:

sum of all digits = 5050 divided by 7 = 721.4

Answer 2

Answer:

A tricky one.

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.

The only part to be consider is

= 1! + 2! + 3! + 4! + 5! + 6!

= 1 + 2 + 6 + 24 + 120 + 720

= 873

The remainder left after dividing 873 by 7 is 5

Hence, the remainder is 5.

Step-by-step explanation:

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