Determine the prime factorisation of each of the following positive integer:
Question:

Determine the prime factorisation of each of the following positive integer:

(i) 20570

(ii) 58500

(iii) 45470971

Solution:

TO EXPRESS: each of the following numbers as a product of their prime factors

(i) 20570

$20570=2 \times 5 \times 11^{2} \times 17$

(ii) 58500

$58500=2^{2} \times 3^{2} \times 5^{3} \times 13$

(iii) 45470971

$45470971=7^{2} \times 13^{2} \times 17^{2} \times 19$