What is the remainder when 91x92x93x94x95x96x97x98x99 is divided by 1261 ........

Math and Mental Ability Number System

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What is the remainder when 91x92x93x94x95x96x97x98x99 is divided by 1261?

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Explanation:

Given expression = 91 × 92 × 93 × 94 × 95 × 96 × 97 × 98 × 99 = X (let)
1261 = 1 × 13 × 97
So, its factors are 13 and 97.
Since in expression X, multiples of 13 and 97 are there, 1261 will completely divide the expression X.
Hence, the remainder = 0