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We observe
From 5 ! onwards, the number will always end with 0 because it will contain a 2 and 5 as it's prime factors.
So basically n ! will always end with zero where n ≥ 5 and n is a positive integer.
1 5 0 ! = k × 1 0 where k is a positive integer
⇒ last digit = 0
What is k ?
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a big positive integer that you don't want to calculate
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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