Question

The factors of 6 are also the factors of which number? A 5 C 20 B 10 D 30

Answer 1

The factors of 6 are 1, 2, 3, and 6, and the number among the given options that has these factors as well is 30, making (D) the correct choice.

Step-by-step explanation:

Examining the factors of 6, which include 1, 2, 3, and 6, provides a foundation for identifying a number among the options that shares these factors. The key criterion is finding a multiple of 6. In the given choices—(A) 5, (B) 10, (C) 20, and (D) 30—the most suitable answer is (D) 30.

This is because 30 is divisible by all the factors of 6, ensuring that it encompasses the complete set of factors, thereby making it a suitable multiple. The process of analyzing factors and multiples offers a systematic approach to deducing the correct solution among the provided alternatives.

Answer 2

Factors of a number are defined as numbers that divide another number evenly or exactly without giving any remainder.

Hence,

The factors of 6 are the numbers that can divide 6 without any remainder.

`\text{Factors of 6 =1,2,3,6}`
`\begin{gathered} \text{Factors of 5=1,5} \\ \text{Factors of 20=1,2,4,5,10,20} \\ \text{Factors of 10=1,2,5,10} \\ \text{Factors of 30=1,2,3,5,6,10,15,30} \end{gathered}`

From the above, we can deduce that the factors of 6 are also the factors of 30.

The corr