Try this TOMATO problem from I.S.I. B.Stat Entrance Objective Problem based on Number of divisors and Integer.

Number of divisors and Integer (B.Stat Objective)

The smallest positive integer n with 24 divisors (where 1 and n are also considered divisors of n) is

  • 240
  • 360
  • 420
  • 480

Key Concepts

Number of divisors


Least positive integer

Check the Answer

But try the problem first…

Answer: 360

Suggested Reading

B.Stat Objective Question 83

Challenges and Thrills of Pre-College Mathematics by University Press

Try with Hints

First hint

number of divisors of 420=(2+1)(1+1)(1+1)(1+1)=24

Second Hint

number of divisors of 240=(4+1)(1+1)(1+1)=20

Final Step

number of divisors of 360=(3+1)(2+1)(1+1)=24 and number of divisors of 480=(5+1)(1+1)(1+1)=24 then required number =360.

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