What will be the factors of 5^2n - 3^3n ?

• 5^2n-3^3n=(5^2)^n-(3^3)^n=25^n-27^n
  then (25-27) must be a factor of 5^2n-3^3n .because
  (a - b)(a + b) = a^2 - b^2
  (a - b)(a^2 + ab + b^2) = a3 - b3
  (a - b)(a^3 + a^2 * b + a * b^2 + b^3) = a4 - b4
  ans=-2
• 10 years agoHelpfull: Yes(32) No(3)
• 2 is a factor because 5^2n is an odd number and 3^3n is also an odd number.
  Odd number - Odd number = Even number. So, 2 is one of the factors
• 10 years agoHelpfull: Yes(13) No(1)
• no of factors will be even
  depends on val of n
• 10 years agoHelpfull: Yes(3) No(0)