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.