What is a divisor in mathematics?

Q: What is a divisor in mathematics?



A: A divisor of an integer n, also known as a factor of n, is an integer that divides n without leaving a remainder.

Q: How is the statement "m is a divisor of n" written?



A: The statement "m is a divisor of n" can be written as m|n, where "|" means "divides".

Q: Which numbers are always divisible by a number?



A: Any number is always divisible by 1 and itself, which are two of the divisors.

Q: What is a prime number?



A: A prime number is a number with no other divisors.

Q: What are the proper divisors of a number n?



A: The proper divisors of a number n, other than n itself, are the positive divisors of n.

Q: What is factorization?



A: Finding one or more factors of a given number is called factorization.

Q: What is the difference between a divisor and a factor?



A: There is no difference between a divisor and a factor. They are two terms used interchangeably to refer to an integer that divides another integer without leaving a remainder.

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