Prove that the product of any three consecutive integers is divisible by 6. Hint: See corollary...

Prove that the product of any three consecutive integers is divisible by 6.

Hint: See corollary 2 to theorem 2.4 of the Elementary Number Theory Book:

If a divides c and b divides c, with gcd(a,b)=1, then a*b divides c.

Expert Solution

Colby Messinger answered 3 days ago

prove that the square of the product of 3 consecutive integers is always divisible by 12

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Prove that the product of any three consecutive integers is divisible by 6. Hint: See corollary...

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prove that the square of the product of 3 consecutive integers is always divisible by 12

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