Ta có
S=\(16^5+2^{15}\)
\(\Rightarrow S=\left(2^4\right)^5+2^{15}\)
\(\Rightarrow S=2^{20}+2^{15}\)
\(\Rightarrow S=2^{15}.2^5+2^{15}\)
\(\Rightarrow S=2^{15}.\left(2^5+1\right)\)
\(\Rightarrow S=2^{15}.\left(32+1\right)\)
\(\Rightarrow S=2^{15}.33\)
\(\Rightarrow S⋮33\)
Vậy S\(⋮\)33
Ta có \(S=16^5+2^{15}\)
\(=\left(2^4\right)^5+2^{15}\)
\(=2^{20}+2^{15}\)
\(=2^5.2^{15}+2^5.2^{10}\)
\(=2^{10}.2^5.\left(2^5+1\right)\)
\(=2^{15}.33⋮33\)
Vậy....
S= 165+215
S=(24)5+215
S=220+215
S=215(25+1)
S=215.33
Suy ra S chia hết cho 33 (ĐPCM)