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Algebra Arithmetic I.S.I. and C.M.I. Entrance ISI Entrance Videos

Number of divisors and Integer | B.Stat Objective | TOMATO 83

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

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

Integer

Least positive integer

Check the Answer


But try the problem first…

Answer: 360

Source
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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