2002 to 2008 Primary School Mathematics Review Concepts

The most detailed version of the human education version.

Common Factor:

The common factor is a factor that has two or more numbers For example, the common factor of 10 and 5 has 1 and 5

Because the common factor of 10 has 1, 2, 5, 10

The common factor of 5 has 1,5 So the common factor of 10 and 5 has 1,5 -- two numbers a and b, and their common multiples are numbers that are both multiples of a and b, i.e., divisible by a and b at the same time.

For example, 12 and 15, their common multiples are 60, 120, 180, and so on, and the smallest of these common multiples is called the least common multiple, which is the concept of 60 --- prime number.

If a number has only two factors, 1 and itself, such a number is called a prime number, also known as a prime number. For example, (within 10) 2,3,5,7 are prime numbers, while 4,6,8,9 are not, and the latter is called a composite or composite number. In particular, 1 is neither prime nor composite.

From this point of view, integers can be divided into two types, one is called prime numbers and the other is called composite numbers. (1 is not a prime number, nor is it a composite number) Gauss's famous unique decomposition theorem says that any integer. It can be written as the product of a string of prime numbers multiplied.

Prime numbers are all odd except 2, which is even.

The concept of composite numbers.

In addition to 1 and itself, there are other factors, and a composite number has at least 3 factors.

1 is neither prime nor composite, 1 has only a divisor of itself, and 0 has an infinite number of divisors (in addition to itself), so it makes more sense to divide natural numbers into "prime and composite numbers".

Characteristics of the factor of a number:

1) The greatest factor is itself, and the minimum factor is 1.

2) The number of factors is limited.

Features of multiples of a number:

1) The minimum multiplier is its own, there is no maximum multiplier.

2) The number of multiples is unlimited.

Look at it:

1.1, 2, 3, and 6 are both factors of 12 and 18, and they are the common factors of 12 and 18;

6,12,18...Both are multiples of 3 and multiples of 2, and they are common multiples of 3 and 2.

2. 2,3,7...Their factors are only 1 and themselves, and they are prime numbers (prime numbers);

4,6,8,9...Their factors are not only 1 and themselves, but also other factors, which are composite numbers.

3.The multiple of each number is both one or several times of oneself and one or several times of one's own factor;

The smallest multiple of each number is equal to its own maximum factor.

4.There are three classifications of natural numbers:

1) 1, prime numbers (prime numbers) and composite numbers;

2) is a multiple of 2 and a multiple of not 2;

3) Finite and infinite numbers.

1.Common Factor:

In two or more numbers, if they have the same factor, then these factors are called their common factors. Any non-zero natural number has a common factor of 1And the one that is the largest of these common factors is called the greatest common factor of these positive integers.

Common multiples of several numbers are called common multiples of these numbers, and the smallest one of them is called the least common multiple of these numbers.

Prime number 1That is, in all integers greater than 1, there is no other factor except 1 and itself, and such integers are called prime numbers.

It can also be said that prime numbers have only 1 and two divisors of itself. 2.A prime number is an integer that cannot be expressed as the product of any two integers except the product of itself and 1.

For example, 15 is 3 5, so 15 is not prime.

A composite number has other factors besides 1 and itself, and this number is called a composite number. (4, 6, 8, 9, 10, etc.).

1 is neither prime nor composite.

The factor integer is divided by another integer, which is the factor of the former, e.g. 1, 2, and 4 are all factors of 8.

Multiples are divisible by another number, and this number is a multiple of another number. For example, 15 is divisible by 3 or 5, so 15 is a multiple of 3 and a multiple of 5.

The quotient obtained by dividing one number by another. For example, a b c means that a is a multiple of b and a is a multiple of b.

3 A factor is divisible by his product, so that the number is the factor, and his product is a multiple.

Classification of natural numbers.

Odd and even.

Prime numbers and numbers.

Rational Numbers Irrational numbers.

Hope it helps

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If a b copies c (abc is a whole.

number, b≠0) then a is divisible by b by bai, b is divisible by dua, a is a multiple of zhib, and b is a factor of a.

A number divisible by 2 is called even.

The number of daos, which cannot be divisible by 2, is called odd.

The greatest factor of a number is itself, and the smallest factor is 1

The minimum multiple of a number is itself, there is no maximum multiple.

A number that no longer contains other factors other than 1 and itself is called a prime number (the book of prime 0 that has other factors besides 1 and itself is called a sum number.)

The greatest common factor for two numbers is 1, and these two numbers are coprime.

How to find the greatest common factor and the least common multiple.

Two numbers are co-primed, the greatest common factor is 1, the least common factor is their product of the relationship between the two numbers in multiples, the greatest common factor is the decimal number, and the least common multiple is the general relationship of the large number, using short division.

The smallest even number is 0, and the smallest is the odd number 1

The smallest prime is 2, the smallest and the number is 4

The smallest single digit is 1

I'm also in the sixth grade.

What we learned is not from the Jijiao version of the book, so it can't help you.

The number of 02468 in the single digit is a multiple of 2.

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Argument Yu junior high school. Technical secondary school.

Primary School Mathematics Graduation Mock Paper 1

This can be reviewed in many ways, starting from the first page of the book, or going to the library to find relevant materials to review.

Hope it helps, thank you.

Sort out the key and difficult points of each chapter, and practice the test papers for the chapter.