Question

Determine the prime factorization of each of the following positive integers:
(i) 20570 (ii) 58500.

Answer 1

Answer:

20570. 20570 = 2 x 5 x 11 x 11 x 17. ∴ 20570 = 2 x 5 x 112 x 17.

(ii) 58500. 58500 = 2 x 2 x 3 x 3 x 5 x 5 x 5 x 13. ∴ 58500 = 22 x 32 x 53 x 13.

(iii) 45470971. 45470971 = 7 x 7 x 13 x 13 x 17 x 17 x 19. ∴ 45470971 = 72 x 132 x 172 x 19.