The number of factors ofN = 2^{3} \times 3^{5} \times 5^{7} which have more than four factors, is

  • Option 1)

    180

  • Option 2)

    179

  • Option 3)

    185

  • Option 4)

    183

  • Option 5)

    182

Answers (1)

Number = 2^{3} \times 3^{5} \times 5^{7}

Total number of factors=4\times 6\times 8=192

Number having 1 factors=1=1

Number having 2 factors=2,3,5=3

Number having 3 factors= 4,9,25=3

Number having 4 factors=6,10,15,8,27,125=7

Number having more than 4 factors=192-13=179

Boost your Preparation for JEE Main 2021 with Personlized Coaching
 
Exams
Articles
Questions