Question

the product of. three consecutive integers is divisible by m
find m

Answer 1

Answer:

m is 2,3

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Answer 2

Answer:

let three consecutive integers be = x , (x+1) , (x+2)

let the remainder be 1

x * ( x+1 ) ( x+2) / m = 1

x * x2 +2x + x + 2 / m = 1

x* (x2 + 3x) / m = 1

x3  + 3x2 / m = 1

cross multiply

x3 + 3x2 = m

hence the value of m is x cube + (3x) square........

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