Question

The factors of 18. ​

Answer 1

2*3*3=2*3^2

Explanation:

18÷2=9

9÷3=3

3÷3=1

Answer 2

See below.

Explanation:

`\textsf{We are asked to identify the factors of 18.}`

`\large \fbox{\textsf{The factors of 18 are: 1, 2, 3, 6, 9, 18.}}`

`\huge\fbox{What are Factors?}`

`\textsf{Factors are 2 whole numbers that \bf{multiply} to become a \bf{given number.}}`

`\textsf{One simple way to identify factors is to divide the given number by positive integers.}`

`\large\boxed{\textsf{For example;}}`

`\textsf{Find the factors of 12.}`

`\mathtt{12 / 1 = 12 \ (Factor)}\\\mathtt{12 / 2 = 6 \ (Factor)}\\\mathtt{12 / 3 = 4 \ (Factor)}\\\mathtt{12 / 4 = 3 \ (Factor)}\\\mathtt{12 / 5 = 2.4 \ (Not \ A \ Factor)}\\\mathtt{12 / 6 = 2 \ (Factor)}`

`\mathtt{12 / 7 = 1.714... \ (Not \ A \ Factor)}\\\mathtt{12 / 8 = 1.5 \ (Not \ A \ Factor)}\\\mathtt{12 / 9 = 1.\bar{3} \ (Not \ A \ Factor)}\\\mathtt{12 / 10 = 1.2 \ (Not \ A \ Factor)}\\\mathtt{12 / 11 = 1.\bar{09} \ (Not \ a \ Factor)}\\\mathtt{12 / 12 = 1 \ (Factor)}`

`\large \fbox{\textsf{The factors of 12 are: 1, 2, 3, 4, 6, 12.}}`

`\textsf{Let's do the same thing, but with 18.}`

`\textsf{Find the factors of 18.}`

`\mathtt{18 / 1 = 18 \ (Factor)}\\\mathtt{18 / 2 = 9 \ (Factor)}\\\mathtt{18 / 3 = 6\ (Factor)}\\\mathtt{18 / 4 = 4.5 \ (Not \ A \ Factor)}\\\mathtt{18 / 5 = 3.6 \ (Not \ A \ Factor)}\\\mathtt{18 / 6 = 3 \ (Factor)}`

`\mathtt{18 / 7 = 2.574... \ (Not \ A \ Factor)}\\\mathtt{18 / 8 = 2.25 \ (Not \ A \ Factor)}\\\mathtt{18 / 9 = 2 \ (Factor)}\\\mathtt{18 / 10 = 1.8 \ (Not \ A \ Factor)}\\\mathtt{18 / 11 = 1.\bar{63} \ (Not \ A \ Factor)}\\\mathtt{18 / 12 = 1.5 \ (Not \ A \ Factor)}`

`\mathtt{18 / 13 = 1.384.. \ (Not \ A \ Factor)}\\\mathtt{18 / 14 = 1.285.. \ (Not \ A \ Factor)}\\\mathtt{18 / 15 = 1.2 \ (Not \ A \ Factor)}\\\mathtt{18 / 16 = 1.125 \ (Not \ A \ Factor)}\\\mathtt{18 / 17 = 1.0588.. \ (Not \ A \ Factor)}\\\mathtt{18 / 18 = 1 \ (Factor)}`

`\large \fbox{\textsf{The factors of 18 are: 1, 2, 3, 6, 9, 18.}}`