Multiplication involves at least two numbers. The two numbers are multiplied together to give the product. The numbers multiplied are called the factors of the product number.
Example: 4 x 5 is 20.Factors are numbers being multiplied.
In a multiplication problem, the numbers that are multiplied are called as factors and multiplying these factors is called as product. Factor means taking a number way from the product. The reverse of multiplication is called as factor. For example: Multiplying 4 and 2 we get 8 as a product. Here 4 and 2 is called as two factors. It can be divided into two division facts: 8 ÷ 2 = 4, and 8 ÷ 4 = 2. So, 8 are divisible by both 4 and 2. The factors of 8 are 4 and 2.
Numerical factors are numbers used as factors.
Example: Here, 20 is the product and 4, 5 are the factors of 20. 4 and 5 exactly divides 20.
Literal factors are alphabets or letters being used in place of or represent numbers used for multiplication.
Example: (m) (n) = 24; here, 'm' and 'n' are literal factors.Interchanging the factors do not change the product value ( commutative law of multiplication).
Interchanging of factors may be used to
(a) simplify the multiplication
(b) re-arrange the factors in a preferred order
(c) check the product value
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There are some rules for factors and products.
Thus, a product is the multiple of all its factors. These are some of the properties of factors and products.
Divisibility rules help to find the factors of a number. Finding factors of a number means, we start dividing the number to get exact divisors.
Every number is the product of itself and 1.
Given below are some of the examples on factors and products.
Factor rainbows are a method of listing the factors of a number and the factor pairs that multiply to give the number are joined by curves.
Factors of 24 = 1 x 24 = 2 x 12 = 4 x 6= 8 x 3
Factors of 24 are 1, 2, 3, 4, 6, 8, 12, 24.
Factor tree is another method of representing factors.
120 = 12 x 10 = 4 x 3 x 2 x 5 = 2 x 2 x 3 x 2 x 5
We break down 120 to simple factors using the divisibility test. Then, each factor is broken down to more simple numbers.
The factors of 120 are 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60,120.
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