Question

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

Answer 1

well if there was a single even integer there then the whole thing would be even...

does that help? :)

Answer 2

alright

Answer 3

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

Answer 4

two?

Answer 5

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

Answer 6

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...

Answer 7

ok so six even odd product would be odd?

Answer 8

wait..what? six even odd product?

Answer 9

ya the product of six integers

Answer 10

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

Answer 11

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

Answer 12

yeah..what is your answer?

Answer 13

all 6 must be odd

Answer 14

correct!

Answer 15

thanks :)

Answer 16

\[\Huge \color{maroon}{\mathtt{\text{<tips hat>}}}\]