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Depends entirely on the batteries - all types and brands will have a rating, usually in mWh - you need to work it out from that. You also need to allow for the rated voltage of the lamp. Educated guess - very many thousands.

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Q: How many AA batteries will you need to make a 100 watt light bulb last for two weeks?
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Martin has a 3 bulb camping light that holds four batteries The camp light has a switch that will allow the light to operate one two or all three bulbs at the same time The batteries will last 6 h?

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