Question

2.) Find the cube root of the following numbers using prime
factorisation :

(c) 592704​

Answer 1

Answer:

592704:- Divided by 2 obtained=296352

296352:- divided by 2 obtained=148176

148176:-divided by 2 obtained=74088

74088:-divided by 2 obtained = 37044

37044:- divided by 2 obtained = 18522

18522:- divided by 2 obtained=9261

9261:- divided by 3 obtained = 3087

3087:- divided by 3 obtained =1029

1029:- divided by 3 obtained =343

343:- divided by 7 obtained =49

49:- divided by 7 obtained=7

We know in prime factorisation method make pair 3

592704= 2×2×2×2×2×2×3×3×3×7×7×7=2×2×3×7=84ans

Answer 2

Step-by-step explanation:

Prime factorization of 592704:

2^6 × 3^3 × 7^3

(2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 7 × 7 × 7)