Question

Express 108 as a product of its prime factors in index form.

Answer 1

108 = 2² × 3³

Given :

The number 108

To find :

Express 108 as a product of its prime factors in index form.

Solution :

Step 1 of 2 :

Prime factorise the given number

Here the given number is 108

$\begin{gathered}\begin{gathered}\begin{gathered} \:\: \begin{array}{c|c} {\underline{\sf{2}}}&{\underline{\sf{\:\:108 \:\:}}}\\ {\underline{\sf{2}}}&\underline{\sf{\:\:54 \:\:}} \\ {\underline{\sf{3}}}&\underline{\sf{\:\:27 \:\:}} \\\underline{\sf{3}}&\underline{\sf{\:\:9\:\:}}\\\underline{\sf{3}}&\underline{\sf{\:\:3\:\:}} \\ &{\sf{\:\:1 \:\:}} \end{array}\end{gathered}\end{gathered}\end{gathered}$

Thus on prime factorisation we get

108 = 2 × 2 × 3 × 3 × 3

Step 2 of 2 :

Express 108 as a product of its prime factors in index form.

In the prime factorisation of 108

Number of 2's = 2

Number of 3's = 3

Thus we get ,

108 = 2² × 3³

━━━━━━━━━━━━━━━━

Learn more from Brainly :-

$1.$ the smallest 4 digit number divisible by 24,15 and 36 is

https://brainly.in/question/47232136

2. Three bulbs red, green and yellow flash at intervals of 80 seconds, 90 seconds and 110 seconds. All three flash together...

https://brainly.in/question/46299984

#SPJ3