Question

Prove that if mn is odd, then both m and n are odd.

Answer 1

Hint :-
odd formula 2n+1

Answer 2

Because any odd number multiplied by a multiple of two is even.

Answer 3

so assume
m=2k+1
n=2g+1

mn=(2k+1)(2g+1)=(4kg+2k+2g+1)=2(2kg+k+g)+1=2n+1

Answer 4

I think you are proving it the other way. The question starts off with mn being odd

Answer 5

No, I'm showing why neither number can be even :) If the product is odd, you \(cannot\) have an even integer in the equation.

Answer 6

DangerousJesse: I understand what you are saying, but how can we show this as a mathematical proof? :)

Answer 7

I'm not sure I understand you?

Answer 8

Oh!

Answer 9

God, I'm being so dense -.- My apologies.