I. Introduction:
1. Factor means that one number is divisible by another number, and this number is a factor of another number. For example, 10 is a multiple of 5, and 5 is a factor of 10. Factor is a mathematical term, which means that one number can be divisible by another.
2. The factor of a number is unique. For example, the factor of 6 is 1, 2, 3. These three factors are independent of each other and cannot be divisible by other numbers. No matter how many times a number is divisible, its factor will not change. For example, no matter how many factors 6 is decomposed into, its factors are still 1, 2, 3.
The factor of a number can be divided into divisor and multiple. If a number is divisible by another number, then this number is the divisor of another number. If a number is divisible by another number, then this number is a multiple of another number. For example, 6 is a multiple of 3 and 3 is a divisor of 6.
Second, the greatest common divisor and the least common multiple:
1. Among all the factors of two or more numbers, if a number can divide them at the same time, then this number is their greatest common divisor. For example, the greatest common divisor of 12 and 18 is 6.
2. Similarly, in all multiples of two or more numbers, if a number can be divisible by them at the same time, then this number is their least common multiple. For example, the least common multiple of 6 and 9 is 18.
Third, the application factors:
1, the factor is widely used in mathematics. For example, in geometry, we can decompose a graph into several similar graphs, and the size of each similar graph is the factor of the original graph. This method is called similarity decomposition.
2. In computer science, factor is an important part of cryptographic algorithms, such as RSA algorithm. In a word, factor is an important concept in mathematics and has a wide range of applications. Through in-depth study and understanding of factors, we can better master the basic knowledge and methods of mathematics and solve problems in real life.