Q. Number of numbers which have prime number of factorials in between 1 to 100 (hint no. of prime no. = 25)

• ans will be 25...
  2!=2*1 ... prime no of fac(2)
  3!=3*2*1 ... prime no of fac(3)
  4!=4*3*2*1 ... not prime no of fac
  5!= 5*4*3*2*1 ... prime no of fac(5)
  
  so on... till 100
  so only prime no's have prime no of factorial and since we have 25 prime no's between 1 and 100 so ans will be 25
• 11 years agoHelpfull: Yes(8) No(4)
• i think 32 is the answer
  25 prime numbers + 7(2^2,2^4,2^6,3^2,3^4,5^2,7^2)
  
  do tell me if i'm wrong
• 11 years agoHelpfull: Yes(7) No(1)
• Only number 2 is possible whose factorial is prime
  Therefore Ans=1
• 11 years agoHelpfull: Yes(1) No(2)
• @priyanka90=2*3*3*5*1 and have prime no. of factorials
• 11 years agoHelpfull: Yes(1) No(2)
• @rohit priyanka is right and i right the same thing above.
  and you are just unable to understand the question.
• 11 years agoHelpfull: Yes(1) No(5)
• actually it is prime no of factors..
• 11 years agoHelpfull: Yes(1) No(1)
• actually prime no. factors question was like so....
• 11 years agoHelpfull: Yes(1) No(1)
• 116 prime no of factorials
• 11 years agoHelpfull: Yes(0) No(2)
• could u explain it
  
• 11 years agoHelpfull: Yes(0) No(1)
• prime number of factorial = 2,3,5,etc number of factorial = eg:-2*1 , 3*2*1 , 5*4*3*2*1*
  therefore there are 25 number of numbers which have prime number of factorials in between 1 to 100
  
• 11 years agoHelpfull: Yes(0) No(5)
• 25 prime nos have prime no of solution i.e=25+........
• 11 years agoHelpfull: Yes(0) No(3)
• answr should b 29
  25 prime numbers which hv only 2 (prime number) factors and also the square of 2,3,5,7
  total=25+4=29
  all other number hav even number of factors
  
• 10 years agoHelpfull: Yes(0) No(1)
• 25 prime number+10(2^2+2^3+2^4+2^5+2^6+3^2+3^3+3^4+5^2+7^2)=35
• 7 years agoHelpfull: Yes(0) No(0)
• Ans is 2.
  no of nos so we have 25 prime upto 100
  so ,2!=2
  3!=6
  5!=120 (greater than 100)
  so only 2 no. those are 2, and 6 who have prime as a factorial
  hope u understand
• 6 years agoHelpfull: Yes(0) No(0)