Math, asked by kumarsahil942162, 10 months ago

n and even natural number then the largest natural number by which n(n+1)(n+2) is divisible, is​

Answers

Answered by Anonymous
13

So ...

n,

n + 1 and n + 2 are three consecutive positive integers.

When n = 2,

n (n + 1) (n + 2) = 2 (2 + 1)(2 + 2) = 2 × 3 × 4 = 24.

Thus, n (n + 1) (n + 2) is divisible by 24.

Note: The product of three consecutive natural numbers, n (n + 1) (n + 2) is divisible by 6.

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