Free Practice Question
PS · Problem Solving
655-705
Divisibility/Multiples/Factors
What is the total number of odd factors in 9!?
Answer Choices
Correct answer marked belowA
5
B
8
C
10
D
14
20
Correct
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Explanation
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Official Explanation
Official
To determine the number of odd factors of 9!, we first express 9! in terms of its prime factorization. We find that . The odd factors are derived from the product of the odd prime factors, which are [m]3^4 * 5^1…
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Comments
1
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A
AnishJun 8, 2024
thanks a lot
What this question tests
What it tests
Your understanding of divisibility rules, least common multiples, and greatest common factors.
Common trap
Forgetting that 1 is not prime and that every integer divides 0.
Details
Difficulty
655-705
Type
PS
Category