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Q.

If a number 'x'  divides another number 'y'  exactly, then we say that 'x'  is a factor of 'y' and is represented as yx .

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Detailed Solution

Factors and Divisibility

Definition: If a number 'x' divides another number 'y' exactly, then we say that 'x' is a factor of 'y' and is represented as y/x.

Explanation:

  • When one number x divides another number y without leaving any remainder, it means x is a factor (or divisor) of y.
  • The expression y/x represents how many times x can be multiplied to give y.
  • This is a fundamental concept in number theory and helps in understanding divisibility, factors, multiples, and prime factorization.

Key Points:

  • Factor: A number that divides another number exactly without leaving a remainder.
  • Divisibility: A number y is divisible by x if the remainder is zero when y is divided by x.
  • Representation: If x is a factor of y, then y = x × k, where k is a whole number.
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If a number 'x'  divides another number 'y'  exactly, then we say that 'x'  is a factor of 'y' and is represented as yx .