Try this problem from I.S.I. B.Stat Entrance Objective Problem based on Number of factors.

Number of Factors (B.Stat Objective Question)


The number of different factors of 1800 equals

  • 104
  • 36
  • 1154
  • none of these

Key Concepts


Integers

Number of divisors

Exponents

Check the Answer


But try the problem first…

Answer: 36

Source
Suggested Reading

B.Stat Objective Problem 95

Challenges and Thrills of Pre-College Mathematics by University Press

Try with Hints


First hint

here 1800=(2)(2)(2)(3)(3)(5)(5)

Second Hint

number of divisors of 1800 =(3+1)(2+1)(2+1)

Final Step

=(4)(3)(3)=36.

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