Question 28
The number of distinct prime factors of the smallest 5-digit number is

(A) 2
(B) 4
(C) 6
(D) 8

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Solution

We know that, smallest 5-digit number=10000
Prime factors of 10000

i.e. $10000 = 2^{4} \times 5^{4}$
Hence, the number of distinct prime factors of the smallest 5-digit number is 2.

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Cardinality

Standard VI Mathematics

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Question 28 The number of distinct prime factors of the smallest 5-digit number is (A) 2 (B) 4 (C) 6 (D) 8

We know that, smallest 5-digit number=10000 Prime factors of 10000 i.e. 10000=24×54 Hence, the number of distinct prime factors of the smallest 5-digit number is 2.

Question 28
The number of distinct prime factors of the smallest 5-digit number is

(A) 2
(B) 4
(C) 6
(D) 8

We know that, smallest 5-digit number=10000
Prime factors of 10000

i.e. $10000 = 2^{4} \times 5^{4}$
Hence, the number of distinct prime factors of the smallest 5-digit number is 2.