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The number of distinct prime factors of the smallest 5-digit number is

 The number of distinct prime factors of the smallest 5-digit number is

Grade:12

1 Answers

Harshit Singh
askIITians Faculty 5964 Points
8 months ago
Dear Student

The smallest 5 digit number is = 10000
Prime factors of 10000 = 2 × 2 × 2 × 2 × 5 × 5 × 5 × 5
So, 10000 = 24× 54
Thus, distinct prime factors are = 2 and 5
Number of distinct prime factors of the smallest 5-digit number is = 2

Thanks

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