If A = {x : x is a factor of 6}, which set is A?
Answer and explanation
Correct answer: {1, 2, 3, 6}
A factor of 6 is a positive integer that divides 6 exactly, leaving remainder zero. The factor pairs are 1 × 6 and 2 × 3, so the positive factors are 1, 2, 3, and 6. Hence A = {1, 2, 3, 6}, making option A correct. Option B omits 1, option C omits 2 and 3, and option D incorrectly includes 4, which does not divide 6 exactly.
Frequently asked questions
What is the correct answer to this question?
{1, 2, 3, 6}
Why is this the correct answer?
A factor of 6 is a positive integer that divides 6 exactly, leaving remainder zero. The factor pairs are 1 × 6 and 2 × 3, so the positive factors are 1, 2, 3, and 6. Hence A = {1, 2, 3, 6}, making option A correct. Option B omits 1, option C omits 2 and 3, and option D incorrectly includes 4, which does not divide 6 exactly.
Which subject and chapter does this question cover?
This is a Class 10 Mathematics question. Chapter: Sets. Topic: The Empty Set, Finite and Infinite Sets, Equal Sets.
