What are factors and multiples

What are factors and multiples

factor
An integer is divided by another integer, which is the factor of the former
Example: 6 △ 2 = 3, 2 and 3 are the factors of 6
multiple
① If an integer can divide another integer, this integer is a multiple of another integer. For example, 15 can be divided by 3 or 5, so 15 is a multiple of 3 and also a multiple of 5
② The quotient of a number divided by another number. For example, a △ B = C, that is to say, a is a multiple of B and a is a multiple of B
If a factor divides its product, then the number is a factor and its product is a multiple
3 × 5 = 15
↑ ↑ ↑
Factor 1 factor 2 multiple
For example: a △ B = C, it can be said that a is c times of B
③ There are innumerable multiples of a number (except 0), that is to say, the set of multiples of a number is infinite

What are factors and multiples

If n is divided by m, the result is an integer without remainder, then M is the factor of N. it should be noted that this relationship holds only when the divisor, divisor and quotient are all integers and the remainder is zero. Conversely, we call n a multiple of M

Can you tell me the connection between factor and multiple? Quick
What are the characteristics of factors and multiples? What are the maximum or minimum factors and multiples of a number?

If a × B = C, then C is called the multiple of a and B, and a and B are called the factor of C
The numbers of 0, 2, 4, 6 and 8 are multiples of 2
Any number that is 0 or 5 is a multiple of 5
The sum of the numbers in all digits is a multiple of 3, and the number is a multiple of 3
The maximum factor of a number x is x, the minimum factor is 1, and the maximum multiple is not (the multiple is infinite, such as 2x, 3x, 4x...) The smallest multiple is x (x × 1)
The range of factors and multiples are in the range of non-zero natural numbers

What is the multiple of 2

All natural numbers divisible by 2 are multiples of 2. The reason why we emphasize "natural numbers" here is that when we study multiples in primary school, we exclude 0 and negative integers
According to the definition of factors and multiples, 0 is the multiple of any non-zero natural number, and any non-zero natural number is the factor of 0. However, considering the future study of the greatest common factor and the least common multiple, if 0 is not excluded, many problems can not be discussed: for example, the discussion of the greatest common factor of 0 and 5 has neither mathematical nor practical significance; for another example, if 0 is taken into account, the maximum common factor of 0 and 5 can not be discussed, The least common multiple of any two natural numbers is 0, so this research has no value. Therefore, when we study the multiple problem, we must exclude 0
Therefore, the multiple of 2 should be the product of 2 and any non-zero natural number, that is, 2, 4, 6, 8, 10, 12 There are countless

A factor of 30 (that is, a divisor) has______ Where prime numbers are______ The total number is______ ．

The factors of 30 are: 1, 2, 3, 5, 6, 10, 15, 30. The prime numbers are 2, 3, 5, and the combined numbers are 6, 10, 15, 30. So the answers are: 1, 2, 3, 5, 6, 10, 15, 30, 2, 3, 5, 6, 10, 15, 30

There are? Divisors of prime numbers and at least? Divisors of composite numbers

There are two divisors of prime number, one and oneself
There are at least three divisors of the total number, and there is one in addition to one and oneself

How many divisors does each prime number have at least?

Every prime has at least two divisors, one is 1 and the other is itself
Every composite number has at least three divisors, and there is another divisor besides 1 and itself

What is prime? What is composite? What is divisor?

Prime numbers are numbers that can only be divided by 1 and themselves and have no remainder. Examples 7 and 11
A composite number is a natural number that can be divisible by other numbers in addition to 1 and the original number. For example, 6 can be divisible by 1 and 6, and also by 2 and 3
Divisor and multiple are relative, divisor is divisible by a certain number, multiple is divisible by a certain number
For example, 6 and 3 are divisors of 12, and 12 is a multiple of 3 and 6

In the natural numbers of 1-20, the ones that are neither prime nor composite numbers are the multiples of 3 and the ones that contain the divisor 5

Among the natural numbers from 1 to 20, the one that is neither prime nor composite is: 1,
The multiples of 3 are: 3,6,9,12,15,18,
The numbers with divisor 5 are: 5,10,15,20
To adopt the first correct answer yo. Wish progress!

What is the maximum of a three digit number composed of the minimum natural number, the minimum prime number and the minimum composite number

420!