Relationship between factor and multiple: It means that the quotient (b≠0) of integer A divided by integer B is exactly an integer with no remainder, so b is a factor of A. ..
Examples of factors: when a= 15 and b=5, b is an integer, and a divided by b, that is, 15 divided by 5 equals 3, and the result is an integer without remainder. For example, 5 is a factor of 15.
Multiplication: An integer can be divisible by another integer, so this integer is a multiple of another integer. Or it can be defined as the quotient obtained by dividing one number by another.
Examples of multiples: when a= 15 and b=5, b is an integer, and a divided by b, that is, 15 divided by 5 equals 3, and the result is an integer with no remainder, so 15 is a multiple of 5.
Conceptual description
Modern mathematics: If the integer A can be divisible by the natural number B, then A is called a multiple of B, and B is called a divisor of A (also called a factor); If the integer a is not divisible by the natural number b, it means that a is not a multiple of b, or b is not a divisor of a.
Primary school mathematics: The concepts of factor and multiple are generally expounded in primary school mathematics textbooks. Page 46 of Beijing Edition 10 textbook in 2004 points out that if the number A can be divisible by the number B, then A is called a multiple of B, and B is called a divisor of A (that is, a factor).
For example, 15 is divisible by 3, 15 is a multiple of 3, and 3 is a factor of 15. Page 12 of the fifth grade textbook of 20 13 people education edition points out that 2x6= 12, 2 and 6 are factors of 12, and 12 is a multiple of 2 and 6.
Reference to the above content: Baidu Encyclopedia-Factor; Baidu encyclopedia-multiple