Factor or divisor is a mathematical term. Definition: The quotient (b≠0) of an integer A divided by an integer B is exactly an integer without a remainder, so we say that B is a factor of A, A is a multiple of B, and 0 is not a factor of 0.
Definition of primary school mathematics: If a*b=c(a, B and C are all integers), then we call A and B factors of C. It should be noted that this relationship only holds if the dividend, divisor and quotient are integers and the remainder is zero. Conversely, we call C a multiple of A and B. When learning factors and multiples, primary school mathematics does not consider 0.
In fact, factors are generally defined as integers: let a be an integer and b be a non-zero integer. If there is an integer Q that makes A=QB, then B is a factor of A, denoted as B | A ... but some authors do not require B≠0.
Related attributes:
1, divisible: If the integer A is divisible by the non-zero integer B, the quotient is an integer and the remainder is zero, we say that A is divisible by B (or B is divisible by A) and record it as B | A..
2. Prime number (prime number): a natural number with exactly two positive factors. (or defined as a number that is not divisible by other natural numbers except 1 and the integer itself among natural numbers greater than 1).
3. Composite number: There are other positive factors besides 1 and itself.
4. 1 has only a positive factor of 1, so it is neither a prime number nor a composite number.
5. If A is a factor of B and A is a prime number, then A is a prime factor of B ... For example, 2, 3 and 5 are all prime factors of 30. 6 is not a prime number, so it doesn't count. 7 is not a factor of 30, so it is not a prime factor.
6. Two nonzero natural numbers whose common factor is only 1 are called prime numbers.
7. The number of positive factors of 1 nonzero natural number is limited, of which the smallest is1and the largest is itself. The multiples of nonzero natural numbers are infinite.
8. All nonzero integers are factors of 0.
9 and 2 are the smallest prime numbers.
10,4 is the smallest composite number.