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Find the cube root of 15625 by the prime factorization method

Answer: The cube root of 15625 using the prime factorization is 25. 

Steps: Dividing 15625 by the lowest divisible prime number i.e. five

  • Repeating the obtained quotient division by five unless turns one
  • The outcome-  53 × 53
  • Cube root is 5 × 5= 25