Question

Which of the following statements are correct?

• A. A natural number is the greatest factor of itself.
• B. The multiples of a natural number are finite.
• C. A natural number is the smallest multiple of itself.
• D. $1$ is factor of every natural number.
• E. Every natural number is multiple of $1$.

Answer 1

Answer: (A), (C), (D), (E)

Every natural number is multiple of $1$.

Option(a): A natural number is the greatest factor of itself.
Answer: Correct
Explaination: Factors of $6$ are $1,2,3\&6$
Every number is greatest factor of itself.

Option(b): The multiples of a natural number are finite.
Answer: Incorrect
Explaination: Multiples of $6$ are $6,12,18,\mathrm{24.....}$
Multiples of a number are calculated by multiplying any counting number to that number and counting numbers are infinite or countless.

Option(c): A natural number is the smallest multiple of itself.
Answer: Correct
Explaination: Multiples of $6$ are $6,12,18,\mathrm{24.....}$
Every natural number is the smallest multiple of itself.

Option(d): $1$ is factor of every natural number.
Answer: Correct
Explaination: Factors of $6$ are $1,2,3\&6.$
For every natural number, 1 is a factor because 1 divides any natural number completely.

Option(e): Every natural number is multiple of $1$.
Answer: Correct
Explaination: Multiples of 1 are $1,2,\mathrm{3......}$
Every natural number is multiple of 1 because on multiplying with any natural number we get the same number.