Question

Hãy chứng minh :

10^9+10^8+10^7 chia hết cho 555 

Answer 1

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Answer 2

Ta có:

\(10^9+10^8+10^7=\)

\(10^7.10^2+10^7.10+10^7=\)

\(10^7.\left(10^2+10+1\right)=\)

\(\left(2.5\right)^7.\left(100+10+1\right)=\)

\(2^7.5^7.111=\)

\(2^7.5^6.5.111=\)

\(2^7.5^6.555⋮555\)

\(\Rightarrow\)\(10^9+10^8+10^7⋮555\left(ĐPCM\right)\)