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Question

Which of these numbers has the most number of divisors?

The correct answer is

240

Number 240 Prime factorization of 240: 240 = 2 × 120 = 2 × 2 × 60 = 2 × 2 × 2 × 30 = 2 × 2 × 2 × 2 × 15 = 2^4 × 3 × 5 = 2^4 × 3^1 × 5^1.

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Important Questions from LCM and HCF

  1. The HCF and LCM of two numbers are 12 and 72, respectively. If the ratio of the two numbers is 2 ∶ 3, then the larger of the two numbers is:

  2. Find the greatest number that will divide 43, 91 and 183 so as to leave the same remainder in each case.

  3. Joseph visits the club on every 5 th day, Harsh visits on every 24 th day, while Sumit visits on every 9 th day. If all three of them met at the club on a Sunday, then on which day will all three of them meet again?

  4. What is the least number which when divided by 12,20 and 24 leaves in each case a remainder of 8?

  5. Which of the following is a pair of co-primes?

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