What is the remainder when (1! + 2! + 3!+...1000!) is divided by 5?

Jonas Bautista

Jonas Bautista

Answered question

2022-12-26

What is the remainder when (1! + 2! + 3!+...1000!) is divided by 5?
A) 1
B) 2
C) 3
D) 4

Answer & Explanation

Edward Fisher

Edward Fisher

Beginner2022-12-27Added 5 answers

The correct answer is C) 3
We know that 5! or greater than 5! will be divisible by 5, Thus, when (1! + 2! + 3!...1000!) is divisible by 5 equals to when (1! + 2! + 3! + 4!) is divided by 5. we get the remainder as
1 ! + 2 ! + 3 ! + 4 ! 5 = 33 5 = 3 5
Therefore, remainder obtained = 3

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