What is the definition of a factor of the number 36?

What is the definition of a factor of the number 36?

• A. A number that 36 can be divided by and have no remainder
• B. A number greater than 36
• C. A prime number that is less than 36
• D. A multiple of 36

Answer: (A)

A factor of a number is defined as any integer that can divide that number without leaving a remainder. In the case of the number 36, a factor would be any whole number that divides 36 evenly. For instance, if you take the number 1, it divides 36 evenly (36 divided by 1 equals 36), and similarly for numbers like 2 (36 divided by 2 equals 18), 3 (36 divided by 3 equals 12), and so forth, up to 36 itself. These calculations all demonstrate that these numbers are factors of 36. The other options do not fit the definition of a factor: a number greater than 36 cannot be considered a factor since it cannot divide 36 evenly; a prime number less than 36 does not represent the general concept of factors, as not all factors are prime; and a multiple of 36 is a number that results from multiplying 36 by an integer, which is the opposite concept of a factor.

A factor of a number is defined as any integer that can divide that number without leaving a remainder. In the case of the number 36, a factor would be any whole number that divides 36 evenly. For instance, if you take the number 1, it divides 36 evenly (36 divided by 1 equals 36), and similarly for numbers like 2 (36 divided by 2 equals 18), 3 (36 divided by 3 equals 12), and so forth, up to 36 itself. These calculations all demonstrate that these numbers are factors of 36.

The other options do not fit the definition of a factor: a number greater than 36 cannot be considered a factor since it cannot divide 36 evenly; a prime number less than 36 does not represent the general concept of factors, as not all factors are prime; and a multiple of 36 is a number that results from multiplying 36 by an integer, which is the opposite concept of a factor.