Question

The resultant of factor $\times $ factor…… is equal to?
(a) Product
(b) Difference
(c) Sum
(d) Quotient

Answer 1

Hint: Here we need to understand the four basic arithmetic operations which are: addition, multiplication, subtraction and division. We will then see the symbols used for the notation of these operations and the meaning of the term ‘factor’ of a number to get the correct answer.

Complete step by step solution:
Here we have been provided with the expression factor $\times $ factor…… and we are asked to find its resultant and choose the correct option. We can see that in the options we have been provided with four terms: product, difference, sum, quotient. Let us understand the meaning of these terms one by one and the cross - sign $\left( \times \right)$ in the question.
Now, the given four terms in the options are four basic arithmetic operations used to perform calculations.
(1) Product: - When we multiply two or more numbers it is said to be the product of two numbers. It is denoted with cross - sign $\left( \times \right)$ or dot sign (.) in higher mathematics. For example: - $3\times 2=6$.
(2) Difference: - When we subtract a number from another number it is said to be the difference of two numbers. It is denoted with minus - sign $\left( - \right)$. For example: - $6-2=4$.
(3) Sum: - When we add two or more numbers it is said to be their sum. It is denoted with plus – sign $\left( + \right)$. For example: - $11+9=20$.
(4) Quotient: - It is the division of a number known as the dividend with another number known as the divisor. It is denoted with the symbol $\left( \div \right)$. For example: - $20\div 2=10$.
Now, let us come to the question, we have factor $\times $ factor…… that means several factors are being multiplied. The term factor (b) of a number (a) means the numbers that com b divides a completely without leaving any remainder. For example: 15 is divided by 3 and 5 so they are the factors of 15. When we multiply all the factors of a number then it is equal to that particular number, like $3\times 5=15$.
Hence, option (a) is the correct answer.

Note: You must know the basic terms of elementary mathematics to solve the above question. Note that if we divide a number with another number and there is some remainder left at the end then we do not consider it as a factor of the number that is being divided. For the term factor to be defined the remainder must be 0.