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Mathematics

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

  1. 2

  2. 4

  3. 6

  4. 8

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Answer

The smallest 5-digit number is 10000.

Prime factorisation: 10000 = 2 × 2 × 2 × 2 × 5 × 5 × 5 × 5.

The distinct prime factors are 2 and 5 — that is 2 distinct prime factors.

Hence, option 1 is the correct option.

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