Question
Download Solution PDFFind the number of consecutive zeroes at the end of 649!.
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFGiven:
We need to find the number of trailing zeroes in 649!
Formula used:
Number of trailing zeroes = ⌊649/5⌋ + ⌊649/25⌋ + ⌊649/125⌋ + ⌊649/625⌋
Calculation:
⇒ 649 ÷ 5 = 129
⇒ 649 ÷ 25 = 25
⇒ 649 ÷ 125 = 5
⇒ 649 ÷ 625 = 1
⇒ Total = 129 + 25 + 5 + 1 = 160
∴ Number of trailing zeroes = 160
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