Question

Express each of the following integers as a product of its prime.

(i) 420

(ii) 468

(iii) 945

(iv) 7325

Answer 1

(i) 420

420 = 2 x 2 x 3 x 5 x 7 

∴ 420 = 2² x 3 x 5 x 7

(ii) 468

468 = 2 x 2 x 3 x 3 x 13 

∴ 468 = 2² x 3³ x 13

(iii) 945

945 = 3 x 3 x 3 x 5 x 7 

∴ 945 = 3³ x 5 x 7

(iv) 7325

7325 = 5 x 5 x 293 

∴ 7325 = 5⁵ x 293