Question

express 768 as product of its prime factors in exponential form. class8th

Answer 1

Solution :

2 | 768

________

2 | 384

________

2 | 192

________

2 | 96

________

2 | 48

________

2 | 24

________

2 | 12

________

2 | 6

________

****3

768 = 2^8 × 3¹

•••••

Answer 2

The required form is $768=2^8\times 3^1$.

Step-by-step explanation:

Given : Number 768.

To find : Express number as product of its prime factors in exponential form ?

Solution :

First we find the factors of the number,

2 | 768

2 | 384

2 | 192

2 | 96

2 | 48

2 | 24

2 | 12

2 | 6

3 | 3

  | 1

i.e. $768=2\times 2\times 2\times 2\times 2\times 2\times 2\times 2\times 3$

$768=2^8\times 3^1$

Therefore, the required form is $768=2^8\times 3^1$.

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