A mile is 1600m. So you would need to do 64 lengths to have done 1 mile.
Which is 32 laps.
32 Laps (down and back) = 1 mile
64 Lengths ( 64 lengths X 25 meters/length = 1600 = 1 mile)
Technically a mile is 1609 meters so you'd need to swim about 64.36 lengths if you absolutely must get to one mile exactly.
There are 1,609.344 meters in a mile. Since there is confusion on what a "lap" is, I will include both a one length and two length answer.
When 1 length = 1 lap, you would need to complete 64.3 laps for a mile (I would stop at 64 and call it a mile)
When 2 lengths = 1 lap, you would need to complete 32.18 laps for a mile
64. I think.
1609 / 25 = 64 laps
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There is 1,609.344 metres in a mile, so to swim one mile in a 25 metre pool you would have to do 64.37 lengths or laps.
1 mile = 1,609.334m
1 lap = 25m
Therefore
1609.334/25 = 64.37336 laps
65 laps = (25*65)/1609.334 = 1.01 miles