Question

As we have seen the different kinds of numbers, let us move on to factors and multiples. There is a conversation between two students regarding their thoughts about factors and multiples.
Samaira: A multiple is a number obtained by multiplying whereas factor is a number obtained by dividing evenly.
Kate: I think that we have finite number of factors but infinite number of multiples.

Both stated their thoughts, whose statement is conceptually correct?

• A. Samaira's statement is correct.
• B. Kate's statement is correct.
• C. Both of their statements are correct.
• D. Both of their statements are wrong.

Answer 1

The correct option is C Both of their statements are correct.

Both the girls have given the correct statements regarding factors and multiples. Factors are numbers that we multiply together to obtain another number whereas multiple is the result of multiplying a number by an integer.
Let us take an example of number 12 to understand:
Factors of 12 = 1, 2, 3, 4, 6, 12 (the factors are always less than or equal to the number)
Multiples of 12 = 12, 24, 36......(the multiples of a number is greater than or equal to the number)

As we can see that factors of a number is finite but multiples of a number can be infinite.