A natural number has exactly 10 divisors including 1 and itself. How many distinct prime factors can a number have...?

a. either 1 or 2
b. either 1 or 3
c. either 2 or 3
d. either 1, 2 or 3

• ans is-either 1 or 2
  Follow the link-http://www.m4maths.com/8864-a-natural-number-has-exactly-10-divisors-including-1-and-itself-how-many-distinct-prime-factors-can-this-natural-number.html
• 7 years agoHelpfull: Yes(5) No(0)
• either 2 or 3 because 1 is not a prime number.
• 7 years agoHelpfull: Yes(1) No(2)
• ans is a.) either 1 or 2
  
  B'z 1 is not prime no so we have only 9 divisor.
  if we want to find the # of divisors of number so we take x^p1,y^p2 .... and so on
  where x and y is prime factor and p1 and p2 is power.
  so number of divisors =(p1+1) *(p2+1)
  (p1+1) *(p2+1)=9
  so we have only 3*3 means we have only 2 divisors or may be if p1=8 its means we have only one factors
• 7 years agoHelpfull: Yes(1) No(0)
• either 2 or 3
  eg; 10000
• 7 years agoHelpfull: Yes(0) No(2)
• either 1 or 2
• 7 years agoHelpfull: Yes(0) No(0)
• either 1or 2
• 7 years agoHelpfull: Yes(0) No(0)