Question

cube root of 2744 by prime factorization method

Answer 1

please refer to the attachment

Answer 2

Answer:

The cube root of 2744 is 14.

Step-by-step explanation:

Given : Number 2744.

To find : The cube root of the number by prime factorization method?

Solution :

Prime factorization is dividing the number by least prime number.

2 | 2744

2 | 1372

2 | 686

7 | 343

7 | 49

7 | 7

  | 1

$2744=2\times 2\times 2\times 7\times 7\times 7$

$2744=2^3\times 7^3$

$2744=14^3$

Therefore, The cube root of 2744 is 14.