An integer can be divisible by another integer, so this integer is a multiple of another integer.

Factor or divisor? , mathematical nouns. Definition: The quotient (b≠0) of an integer A divided by an integer B is exactly an integer with no remainder, so we say that B is a factor of A ... 0 is not a factor of 0?

Factor, a mathematical term.

If a*b=c(a, B and C are all integers), then we call A and B factors of C. It should be noted that this relationship only holds when the dividend, divisor and quotient are integers and the remainder is zero. On the contrary, we call c a multiple of a and b, and we don't consider 0 when studying factors and multiples.

An integer can be divisible by another integer, which is a multiple of another integer. For example, 15 can be divisible by 3 or 5, so 15 is a multiple of 3 and 5.

The quotient obtained by dividing one number by another. For example, a÷b=c, that is, A is a multiple of B, for example, A÷B=C, it can be said that A is C times that of B.

A number has countless multiples, which means that the set of multiples of a number is infinite. Note: you can't call a number a multiple alone, you can only say who is a multiple of who.

Extended data

Note: The following characteristics are expressed in decimal terms based on integers.

A multiple of 2

At the end of a number is an even number (0, 2, 4, 6, 8), which is a multiple of 2.

Like 3776. The end of 3776 is 6, which is a multiple of 2. 3776÷2= 1888? [ 1]?

Multiple of 3

The sum of the digits of a number is a multiple of 3, and this number is a multiple of 3.

4926。 (4+9+2+6)÷3=7, which is a multiple of 3. 4926÷3= 1642? [ 1]?

Multiply of 4

The last two digits of a number are multiples of 4, and this number is multiples of 4.

2356。 56÷4= 14, which is a multiple of 4. 2356÷4=589? [ 1]?

A multiple of 5

The end of a number is 0 or 5, which is a multiple of 5.

7775。 7775 ends with 5. 7775÷5= 1555? [ 1]?

Multiply of 6

As long as a number is divisible by 2 and 3, it is divisible by 6.

Multiple of 7

If one digit of an integer is truncated, subtract twice this digit from the rest. If the difference is a multiple of 7, the original number can be divisible by 7. If the difference is too big or it is not easy to see whether it is a multiple of 7 in mental arithmetic, the above-mentioned "truncation, multiplication, subtraction and difference test" process should be carried out until a clear judgment can be made. For example, the process of judging whether 133 is a multiple of 7 is as follows: 13-3×2=7, so 133 is a multiple of 7; For another example, the process of judging whether 6 139 is a multiple of 7 is as follows: 6 13-9×2=595, 59-5×2=49, so 6 139 is a multiple of 7, and so on.

A multiple of 8

The last three digits of a number are multiples of 8, and this number is multiples of 8.

7256。 256÷8=32, which is a multiple of 8. 7256÷8=907

Multiply of 9

If the sum of the numbers of an integer is divisible by 9, then the integer can be divisible by 9.

/kloc-multiples of 0/0

If the last digit of an integer is 0, then this number can be divisible by 10.

1/a multiple of kloc-0/

(1) If the difference between the sum of odd digits and the sum of even digits of an integer is divisible by 1 1, then this number can be divisible by 1 1. Such as 264,3080 and 95949392, 2+4-6= 1 1×0, 3+8-0 =11,9× 4-(5+.

The multiple test method of 1 1 can also be treated by the "tail-cutting method" of the above-mentioned inspection 7. The only difference in the process is that the multiple is 1 instead of 2.

(2) Separate a number from the unit. If the sum of all separated numbers is a multiple of 1 1, then this number is a multiple of1(for example, 3257 1, divided into 3 25 7 1, 3+25+765438+).

/kloc-multiple of 0/2

If an integer is divisible by 3 and 4, then this number is divisible by 12.

/kloc-multiple of 0/3

If the single digit of an integer is truncated, and then the single digit is multiplied by 4 to the remainder, if the sum is a multiple of 13, then the original number can be divisible by 13. If the difference is too large or it is difficult to see whether it is a multiple of 13 in mental arithmetic, the above-mentioned process of "truncation, multiplication, addition and difference test" is needed until a clear judgment can be made.

/kloc-multiple of 0/7

If the single digits of an integer are truncated, five times the single digits are subtracted from the remaining numbers. If the difference is a multiple of 17, the original number can be divisible by 17. If the difference is too big or the mental arithmetic is not good, is it a multiple of 17

/kloc-multiples of 0/9

If the difference between the last three digits of an integer and the number of the previous partition is divisible by 19, then this number can be divisible by 19.

If the single digit of an integer is truncated, and then twice the single digit is added to the remainder, if the sum is a multiple of 19, the original number can be divisible by 19. If the difference is too big or the mental arithmetic is not good, is it a multiple of 19

A multiple of 23

If the difference between the last four digits of an integer and the first five times of the separated number is divisible by 23 (or 29), then this number can be divisible by 23.

A multiple of 25

More than two digits (excluding two digits), depending on whether the last two digits are multiples of 25.

/kloc-multiple of 0/25

More than three digits (excluding three digits), see if the last three digits are multiples of 125.

Multiplication of composite numbers

Is actually the product of prime numbers. As long as you master some multiples of prime numbers, you will also master some multiples of composite numbers. As mentioned above, 4, 6, 8, 12.

Reference multiple _ Baidu Encyclopedia