how many divisor including 1 but excluding 1000 are there for the number 1000?

• 1000/2=500
  500/2=250
  250/2=125
  125/5=25
  25/5=5
  5/5=1
  
  it is 2^3*5^3
  
  for 'n'
  n=2^a * 3^b * 5^c * 7^d ..... and so on (primefactorization of 'n')
  no. of divisors=(a+1)*(b+1)*c+1).... and so on
  
  for 1000
  number of divisors=(3+1)*(3+1)=16(including 1 and 1000)
  
  so, 16-1=15 no. of divisors excluding 1000
• 7 years agoHelpfull: Yes(27) No(0)
• 2^3*2^3 so it have(3+1)*(3+1)=16 including 1 and1000 so acc to q it is 16-1 =15.
• 7 years agoHelpfull: Yes(5) No(2)
• yes we make prime factorization of 1000 so we get as 2*2*2*5*5*5 which can be written as 2^3*5^3;
  so we add 1 to both the power and multiply as 3+1*3+1=16 including 1000 so ans is 15
• 7 years agoHelpfull: Yes(3) No(2)
• MANISHA MOHANTY , answer is 15. we have to include 1 also as per question
• 7 years agoHelpfull: Yes(2) No(0)
• Mr.Veerpal could you pls explain it in detail
• 7 years agoHelpfull: Yes(1) No(0)
• in number 1000 is excluding in 15 times because 1000 is division by 2
• 6 years agoHelpfull: Yes(1) No(0)
• 14 total factors are 16 since given excluding 1 and 1000 so it is 14
• 7 years agoHelpfull: Yes(0) No(2)
• 15
  1000 factor 2^3*5^3
  (3+1)*(3+1)=16 including both 1 and 1000 hence we remove 1000 so ans be 15
• 7 years agoHelpfull: Yes(0) No(0)
• 1000/2 = 500
  500/2 = 250
  250/2 = 125
  125/5 = 25
  25/5 = 5
  5/5 = 1
  2^3*5^3
  (3+1)*(3+1) = 16
  excluding 1000
  16-1 = 15
• 7 years agoHelpfull: Yes(0) No(1)
• no.of divisors of 1000 including 1 and excluding 1000 are 15
• 7 years agoHelpfull: Yes(0) No(0)
• 15 is the answer
• 7 years agoHelpfull: Yes(0) No(0)
• LCM of 1000 is 2*2*5*5*5*2=2^3*5*3
  so (3+1)*(3+1)=16
  16-1=15
  The number of divisors 1000 including 1 and excluding 1000 are 15
• 7 years agoHelpfull: Yes(0) No(0)
• 15
  1000=2^3 x 5^3
  4*4 =16 factor including 1 & 1000, so excluding 1000 it is 15
• 6 years agoHelpfull: Yes(0) No(0)