How many elements are in B₂ = {x ∈ ℤ : x is a positive factor of 15}?
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Answer and explanation
Correct answer: 4
The positive factors of 15 are the positive integers that divide 15 without a remainder. They are 1, 3, 5, and 15, so B₂ = {1, 3, 5, 15}. Counting these distinct members gives four elements. Negative factors such as -1 and -3 are excluded because the question specifically requires positive factors.
Frequently asked questions
What is the correct answer to this question?
4
Why is this the correct answer?
The positive factors of 15 are the positive integers that divide 15 without a remainder. They are 1, 3, 5, and 15, so B₂ = {1, 3, 5, 15}. Counting these distinct members gives four elements. Negative factors such as -1 and -3 are excluded because the question specifically requires positive factors.
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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