Question

How are factors and products related?

Answer 1

Hint: From the question we have to explain the relation between factors and products. Factor means multiplying two numbers gives a product. The numbers that we multiply are the factors of the product. Product means the result of two numbers when multiplied together.

Complete step-by-step answer:
We know that,
Factor means multiplying two numbers gives a product. The numbers that we multiply are the factors of the product.
Product means the result of two numbers when multiplied together.
For example:
$$\Rightarrow {\displaystyle \frac{30}{6}}=5$$
 and there is no remainder.
 So, we can say that $$5$$ and $$6$$ are the factors of $$30$$.
In the given example, we can further break up or simplify the number $$6$$ into its factors, that is, $$2$$and $$3$$ . In other words, when we multiply $$5,2\text{ and }3$$, we still get $$30$$. Therefore, the factors of $$30$$ are $$5,2\text{ and }3$$. Also, $$\text{5}\times 2=10$$. So, $$10$$ is also a factor of $$30$$. Similarly, $$5\times 3=15$$. So, $$15$$ is also a factor of $$30$$. Finally, the factors of $$30$$ are $$1,2,3,5,6,10,15and30$$.
And the product is $$30$$.

Note: Students should know the relation between the factor and product. Student should also remember some points like, the number $$1$$ is the smallest factor of every number. Every number will have a minimum of two factors, $$1$$ and the number itself. A number that has only two factors, $$1$$ and the number itself, is called a prime number. Factors are always whole numbers or integers and never be decimal or fractions. All even numbers will have number $$2$$ as their factor. All numbers that end with $$5$$ will have $$5$$ as their factor. All numbers greater than o and ending with a o will have $$2$$,$$5$$, and $$10$$ as their factors. Algebraic expressions are often solved or simplified through factoring.