Factors of Square Numbers

A square number can be defined as a product of some integer with itself. For example, 9 is a square number which is obtained by multiplying 3 by 3. Similarly, 16 is the square number obtained by multiplying 4 by 4. Factors of a square number can be obtained by using any method of factorization be it division method or multiplication method. For example,

  • Factors of 16 are 1, 2, 4, 8, and 16.
  • Similarly, factors of 36 are 1, 2, 3, 4, 6, 9, 12, 18, and 36.
  • A square number is always positive.
  • The unit digit of a Square number can never be 2, 3, 7, or 8.
  • The factors of square numbers 0 and 1 are 0 and 1 respectively.

Factors of a Number

Factors of a Number: In mathematics, a factor is a number that divides another number perfectly, leaving no remainder. Factors can also be seen as pairs of numbers that, when multiplied together, result in the original number. For example, 2 and 3 are factors of 6 because multiplying them together gives 6. A single number can have multiple factors.

Let’s learn about the factors of prime and composite numbers, common factors, and methods to find them.

Table of Content

  • What are Factors of a Number?
    • Factors of a Number Definition
  • Factors of a Number Properties
  • How to Find Factors of a Number?
    • Finding Factors Using Multiplication Method
    • Finding Factors Using Division Method
    • Prime Factorization by Factor Tree Method
  • How To Check whether a Number is a Factor?
  • Factors of Prime Numbers
  • Factors of Composite Numbers
  • Factors of Square Numbers
  • Common Factors
  • Prime Factors of a Number
  • Factors Formulas
    • Sum of Factors
    • Number of Factors
    • Product of Factors
  • Factors and Multiples
  • Difference between Factors and Multiples
  • Solved Examples on Factors of Numbers
  • Practice Questions on Factors of Number

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