SOLUTION: Prove that 140 x 141 x 142 x ... x 159 x 160 is divisible by 4321.
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Question 475753
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Prove that 140 x 141 x 142 x ... x 159 x 160 is divisible by 4321.
Answer by
richard1234(7193)
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4321 = 29*149, in which 140*141*...*160 is obviously divisible by 149, and it is also divisible by 29 because 145 is divisible by 29. Hence, the product 140*141*...*160 is divisible by 4321.
