Factorial!

What is the last digit of 150 ! 150! ?


The answer is 0.

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3 solutions

150! = 150 x 149! . The number 150 have a zero in the end. So whatever number you're gonna multiplied 150 with, it always end with zero

Aman Thegreat
Oct 1, 2017

We observe

From 5 ! 5! onwards, the number will always end with 0 0 because it will contain a 2 2 and 5 5 as it's prime factors.

So basically n ! n! will always end with zero where n 5 n\geq5 and n n is a positive integer.

Tommy Li
Sep 30, 2017

150 ! = k × 10 150! = k\times 10 where k k is a positive integer

\Rightarrow last digit = 0 = 0

What is k k ?

Nazmus sakib - 3 years, 8 months ago

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a big positive integer that you don't want to calculate

Tommy Li - 3 years, 8 months ago

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