1. Specifically, if the integer A is divisible by the integer B (b≠0), then we say that A is a divisor of B. For example, 12 can be divisible by 3 and 4, so 3 and 4 are divisors of 12.
2. Dividers are characterized by appearing in pairs and cannot exist alone. For example, we can't say "8 is a divisor", but we should say "8 is a divisor of a certain number". Meanwhile, the divisor is limited. For example, the divisor of a number is equal to the number of factors.
3. Factors are widely used in mathematics, not only in integers, but also in fractions and decimals. The nature and theorem of divisor is also an important research field in mathematics. For example, a prime number is defined as a number with only two divisors: 1 and itself.
4. The nature of divisor also involves some important mathematical theorems and formulas, such as the greatest common divisor theorem and the least common multiple theorem. Factor is a basic concept in mathematics, which describes the relationship that one number can be divisible by another number and plays an important role in understanding the properties and operations of integers, fractions and decimals.
Learn the skills of divisor well
1, understanding the concept of divisor is the basis. Divider, also known as factor, means that the quotient obtained by dividing integer A by integer b(b≠0) is exactly an integer without remainder. When learning divisor, you should clearly understand this definition and judge whether one number is the divisor of another number according to the definition.
2. Mastering the nature of divisor is the key. The nature of divisor includes: the divisor of an integer is finite, except 1 and itself, other divisors are coprime, and the divisor of a number is equal to the sum of all its divisors. Mastering these properties is very important for understanding and applying divisor.
3. Mastering the solution of divisor is the key. There are many ways to solve divisor, including enumeration, short division, prime factor decomposition and so on. For different numerical ranges and difficulty requirements, different methods can be chosen to solve them.
4. Enumeration is solved by enumerating all possible divisors, which is suitable for numbers with small values; Short division is to find the common factor in divisor through continuous division, which is suitable for large numbers; Prime factorization is to decompose the value first, and then find the combination of divisors to solve it, which is also a method suitable for larger values.
5. To learn divisor well, you need to do more exercises, deepen your understanding of concepts, master the nature and problem-solving methods, and cultivate your own mathematical thinking and logical reasoning ability. At the same time, we should also pay attention to summing up the ideas and methods of solving problems to improve learning efficiency and problem-solving ability.