definition

An integer can be divisible by another integer, which is a factor of the former.

For example: 6 ÷ 2 = 3

1, 2,3,6 is a factor of 6.

classify

A

In division, if the dividend is divided by the divisor, the quotient obtained is a natural number without remainder, that is, the dividend is a multiple of the dividend, and the divisor and quotient are factors of the dividend.

B

We divide a composite number into several prime numbers, which are called prime factors of this composite number.

Factors and factors

There are three differences between divisors and factors:

1, the number fields are different. The divisor can only be a natural number and the factor can be any number.

2. The relationship is different. Divider refers to the divisible relationship between two natural numbers. As long as two numbers are natural numbers, it can be determined whether there is a divisor relationship between them, such as: 40÷5=8, 40 is divisible by 5, 5 is the divisor of 40,12 ÷10 =1.2,655438. A factor is the relationship between two or more numbers and their products. For example, 8×2= 16, 8 and 2 are all factors of the product 16, and there is no factor without the product formula.

3. The relationship between size is different. When the number A is a divisor of the number B, A cannot be greater than B, and when A is a factor of B, A can be greater than B or less than B. ..

Generally speaking, divisor equals factor.

common factor

Definition: The common factor of two or more natural numbers is called their common factor.

Greatest common factor: the greatest factor of two numbers.

Other: 1 is the common factor of all nonzero natural numbers.

Between two natural numbers with multiple relationships, the smallest number is the greatest common factor of these two numbers.

correlation factor

1) The minimum factor of a natural number is 1, and the maximum factor is itself.

2) 1 is the common factor of all nonzero natural numbers.

3)0 Regardless of factors, all factors and multiples are discussed in the range of non-zero natural numbers. Multiply 0 by any number to get 0.

4) you can't call a number a factor alone, you can only say who is whose factor.