Which option is the roster form of K={x: x is a natural number and x is a factor of 9}?
Answer and explanation
Correct answer: K={1,3,9}
A natural-number factor of 9 is a positive number that divides 9 exactly, leaving no remainder. Testing the divisors gives 9÷1=9, 9÷3=3, and 9÷9=1, so the complete set is {1,3,9}. Number 6 and number 2 do not divide 9 exactly. The numbers 18 and 27 are multiples of 9, not factors of 9. Therefore option A is correct.
Frequently asked questions
What is the correct answer to this question?
K={1,3,9}
Why is this the correct answer?
A natural-number factor of 9 is a positive number that divides 9 exactly, leaving no remainder. Testing the divisors gives 9÷1=9, 9÷3=3, and 9÷9=1, so the complete set is {1,3,9}. Number 6 and number 2 do not divide 9 exactly. The numbers 18 and 27 are multiples of 9, not factors of 9. Therefore option A is correct.
Which subject and chapter does this question cover?
This is a Class 9 Mathematics question. Chapter: Number Systems.
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