Question

What are the factors of $$18$$ ?

Answer 1

Hint: Factors are whole numbers that are multiplied to create a new number. The product number is a factor of the original numbers. $$a$$ and $$b$$ are factors of $$c$$ if $$a\times b=c$$ . In order to find out the factors of a given number we should use the multiplication table.

Complete step-by-step answer:
A number's factor is defined as a number that divides the original number evenly or precisely. The term factor refers to a whole number that can equally split a larger number.
We can proceed to calculate the factors $$18$$ of as follows:
Every number has $$1$$ and the number itself as the factor. Hence $$18$$ and $$1$$ are the first two factors.
With the help of multiplication, find the two number that make up the given number $$18$$ which will be:
 $$2\times 9=18$$ .
Hence $$2$$ and $$9$$ are the next two factors.
We can also conclude that $$9$$ is a square of prime number $$3$$ . Hence $$3$$ is also a factor of $$18$$ .
Since we have factored $$18$$ with the help of lowest possible number, the final factors are:
 $$1,2,3,9$$ and $$18$$ also $$-1,-2,-3,-9$$ and $$-18$$.
So, the correct answer is “ $$1,2,3,9$$ and $$18$$ also $$-1,-2,-3,-9$$ and $$-18$$”.

Note: Each prime number has only two factors: $$1$$ and the number itself, while each composite number has more than two factors which includes prime factors. E.g. $$2$$ is a prime number having factors $$2$$ and $$1$$ . $$10$$ is a composite number having factors $$1,2,5$$ and $$10$$ .
Divisibility rules will assist you in determining a number's factors. Even numbers are divisible by $$2$$ , so $$2$$ is a factor. If the sum of a number's digits is divisible by $$3$$ , the number is divisible by $$3$$ , i.e. $$3$$ is a factor. A number that ends in a $$0$$ or a $$5$$ is divisible by $$5$$ , which means it is a factor.