Question

Determine prime factorization of each of the following numbers:

(i) 216
(ii) 420
(iii) 468
(iv) 945
(v) 7325
(vi) 13915

Answer 1

(i) 216
We have:

∴ Prime factorisation of 216 = 2 × 2 × 2 × 3 × 3 × 3

(ii) 420
We have:

∴ Prime factorisation of 420 = 2 × 2 × 3 × 5 × 7

(iii) 468
We have:

∴ Prime factorisation of 468 = 2 × 2 × 3 × 3 × 13

(iv) 945
We have:

∴ Prime factorisation of 945 = 3 × 3 × 3 × 5 × 7

(v) 7325
We have:


∴ Prime factorisation of 7325 = 5 × 5 × 293

(vi) 13915
We have:

∴ Prime factorisation of 13915 = 5 × 11 × 11 × 23