Determine the prime factorisation of the following positive integer:
(i) $20570$ (ii) $58500$ (iii) $45470971$

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Solution

$20570 = 2^{1} \times 5^{2} \times 11^{2} \times 17$ $58500 = 2^{2} \times 3^{2} \times 5^{3} \times 13^{1} 45470971 = 7^{2} \times 13^{2} \times 17^{2} \times 19^{1}$

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Determine the prime factorisation of the following positive integer:(i) 20570 (ii) 58500 (iii) 45470971

20570=21×52×112×1758500=22×32×53×13145470971=72×132×172×191

Determine the prime factorisation of the following positive integer:
(i) $20570$ (ii) $58500$ (iii) $45470971$

$20570 = 2^{1} \times 5^{2} \times 11^{2} \times 17$ $58500 = 2^{2} \times 3^{2} \times 5^{3} \times 13^{1} 45470971 = 7^{2} \times 13^{2} \times 17^{2} \times 19^{1}$