Should it be even?

Number Theory Level 1

The number 2 can be expressed as the ratio of 2 positive integers: for example, 2 1 , 4 2 , \frac{2}{1}, \frac{4}{2}, or 6 3 . \frac{6}{3}.

Is it true that if we express 2 as the ratio a b , \frac{a}{b}, where a a and b b are positive integers, then a a has to be an even number?

Yes No

Munem Shahriar by Munem Shahriar , 18, Bangladesh

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1 solution

Maximos Stratis
Nov 4, 2017

2 = a b ⇒ 2=\frac{a}{b}\Rightarrow
a = 2 b ⇒ a=2b\Rightarrow
a even \boxed{\text{a even}}

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