Question

[Dương Hoàng Mai Phương]

Chứng minh rằng:

A=36x1234+2917x24-54x13 chia hết cho6

Answer 1

[Nguyễn Lê Phước Thịnh]

\(36\cdot1234=6\cdot6\cdot1234⋮6\)

\(2917\cdot24=2917\cdot4\cdot6⋮6\)

\(54\cdot13=6\cdot9\cdot13⋮6\)

Do đó: \(A=36\cdot1234+2917\cdot24-54\cdot13⋮6\)

Answer 2

[Nguyễn Việt Lâm]

\(A=36\times1234+2917\times24-54\times13\)

\(=6\times6\times1234+2917\times4\times6-6\times9\times13\)

\(=6\times\left(6\times1234+2917\times4-9\times13\right)⋮6\) (đpcm)