What is the largest value of n such that 10^n divides the product 2^{5} \times 3^{3} \times 4^{8} \times 5^{3} × 6^{7} \times 7^{6} \times 8^{12} \times 9^{9} × 10^{6} \times 15^{12} \times 20^{14} × 22^{11} \times 25^{15} ? [2019 CDS-I]

UPSC CDS I 2019 Math Paper

Question : 2 of 100

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What is the largest value of n such that 10n divides the product

25×33×48×53 × 67×76×812×99 × 106×1512×2014 × 2211×2515

[2019 CDS-I]

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