4. Number of factors of (a + b)2 1 point
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Answer:
Factors of a number are defined as numbers or algebraic expressions that divide a given number/expression evenly. We can also say, factors are the numbers which are multiplied to get the other number. For example, 1, 3 and 9 are the factors of 9, because 1 × 9 = 9 and 3 × 3 = 9. Here, the concepts of factors are explained, which will help to understand how to find the factors and know the prime factors of some common digits. Here we will discuss the formulas to find the factors, product and sum of factors.
Definition of Factors of a Number
The factors of a number are defined as the number which can be multiplied to get the original number. By multiplying two factors of a number, a product is obtained, which is equal to the original number. It should be noted that factors of any number can be either positive or negative. For example, in the case of 6, the factors can be 2 and 3 as 2 × 3 gives 6. Here, 2 and 3 are factors, while 6 is the product. The other factors of 6 are 1 and 6, etc. We can also consider -1, -2, -3 and -6 as the factors of 6, because when we multiply any two negative numbers, it results in a positive number, such as;
-1 × -6 = 6
-2 × -3 = 6
Hence, the factors of 6 in total are 1, 2, 3, 6,-1, -2, -3 and -6.