What is the roster form of P = {x : x ∈ ℕ and x is a divisor of 24}?
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Answer and explanation
Correct answer: P = {1, 2, 3, 4, 6, 8, 12, 24}
A divisor of 24 is a natural number that divides 24 without leaving a remainder. Checking factor pairs gives 1 × 24, 2 × 12, 3 × 8, and 4 × 6. Therefore, the positive natural divisors are 1, 2, 3, 4, 6, 8, 12, and 24. The number 5 is not a divisor, and 16 does not divide 24 exactly.
Frequently asked questions
What is the correct answer to this question?
P = {1, 2, 3, 4, 6, 8, 12, 24}
Why is this the correct answer?
A divisor of 24 is a natural number that divides 24 without leaving a remainder. Checking factor pairs gives 1 × 24, 2 × 12, 3 × 8, and 4 × 6. Therefore, the positive natural divisors are 1, 2, 3, 4, 6, 8, 12, and 24. The number 5 is not a divisor, and 16 does not divide 24 exactly.
Which subject and chapter does this question cover?
This is a Class 10 Mathematics question. Chapter: Sets. Topic: Sets and their representations.
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