If the product of six integers is an odd integer, exactly how many of these integers must be odd?

Question

lgbasallote · Answer

well if there was a single even integer there then the whole thing would be even...

does that help? :)

anonymous · Answer

alright

lgbasallote · Answer

so what's your conclusion? how many odd numbers?

anonymous · Answer

two?

lgbasallote · Answer

nope..like i said..the moment you multiply by an even...the whole thing would be even

lgbasallote · Answer

if there's one even then the whole product is even
two even whole product is even
three even whole product is even

and so on...

anonymous · Answer

ok so six even odd product would be odd?

lgbasallote · Answer

wait..what? six even odd product?

anonymous · Answer

ya the product of six integers

lgbasallote · Answer

what do you mean? six even integers? or six odd integers?

anonymous · Answer

the question asked how many integers of the six must be odd so their product would be odd

lgbasallote · Answer

yeah..what is your answer?

anonymous · Answer

all 6 must be odd

lgbasallote · Answer

correct!

anonymous · Answer

thanks :)

lgbasallote · Answer

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