I. The concept of factors
A factor refers to a number that can be divisible by a number, that is, if a number A can be divisible by another number B, then B is a factor of A ... A factor can also be called a divisor. A factor is a number divisible by a number, and a number A is divisible by another number B, so B is a factor of A ... For example, 6 is divisible by 2, and 2 is a factor of 6.
Second, expand information.
Every number has at least two factors, namely 1 and itself. The factors of 5 are 1 and 5. A number has no other factors except 1 and itself. This number is a prime number.
For example, 7 is a prime number with only two factors, 1 and 7. The factor of a number can be positive, negative or zero. For example, -4 is a factor of 4, and 4 can be divisible by -4. A number has multiple factors, which can be expressed by factorization. Factorization is a method to decompose a number into the product of several prime numbers. For example, 12 can be decomposed into 2×2×3, where both 2 and 3 are prime numbers.
Factors are widely used in mathematics, such as integer theory, algebra, number theory and so on. Factors can also be used to find multiples of a number. For example, if the factors of a number are 2 and 3, then the multiples of this number are 2×3=6, 2×2×3= 12, 2×2×2×3=24, and so on. Factors can also be used to judge the properties of a number.
For example, if the number of factors of a number is odd, then the number is a complete square number. Factors can also be used to find the greatest common factor and the least common multiple. The greatest common factor refers to the greatest common factor of two numbers, and the least common multiple refers to the least common multiple of two numbers.
Third, the benefits of learning mathematics
1. Improve logical thinking ability
Mathematics is a subject that requires strict logical thinking. Learning mathematics can cultivate our logical thinking ability and improve our ability to analyze and solve problems.
2. Cultivate the ability of abstract thinking
Concepts and theorems in mathematics are often abstract. Learning mathematics can cultivate our abstract thinking ability and enable us to abstract general laws from specific problems.
3. Enhance the ability to solve problems
Mathematics is a tool and method to solve problems. Learning mathematics can cultivate our problem-solving ability and enable us to use mathematical knowledge and methods to solve various practical problems.