Home
Class 10
MATHS
prove that the product of three consecut...

prove that the product of three consecutive positive integers is divisible by 6.

Text Solution

Verified by Experts

The correct Answer is:
`6`
Promotional Banner

Topper's Solved these Questions

  • REAL NUMBERS

    CBSE COMPLEMENTARY MATERIAL|Exercise SHORT ANSWER TYPE QUESTION-II|21 Videos
  • QUADRATIC EQUATIONS

    CBSE COMPLEMENTARY MATERIAL|Exercise PRACTICE TEST|10 Videos
  • SOME APPLICATIONS OF TRIGONOMETRY

    CBSE COMPLEMENTARY MATERIAL|Exercise PRACTICE-TEST (SECTION-D)|1 Videos

Similar Questions

Explore conceptually related problems

Prove that the product of two consecutive positive integers is divisible by 2 .

Prove that one of every three consecutive positive integers is divisible by 3.

Prove that one of every three consecutive positive integers is divisible by 3.

Prove that the product of 2n consecutive negative integers is divisible by (2n)!

Prove that the product of any three consecutive even natural numbers is divisible by 16.

Statement-1: The smallest positive integer n such that n! can be expressed as a product of n-3 consecutive integers, is 6. Statement-2: Product of three consecutive integers is divisible by 6.

Consider the following statements: 1. The product of any three consecutive integers is divisible by 6. 2. Any integer can be expressed in one of the three forms 3k,3k+1,3k+2 where k is an integer Which of the above statements is/are correct

The product of three consecutive natural number is always divisible by