Question

Every number is a ______ and a ______ of itself.

(a) factor, multiple
(b) prime, composite
(c) even, odd
(d) none of these

Answer 1

Hint: We will check every option one by one and then we will arrive at the answer. Factors are what we can multiply to get the number. Multiples are what we get after multiplying the number by an integer.

Complete step-by-step answer:
Before proceeding with the question we should understand the concepts of factor, multiple, prime, composite, even and odd.

Factors are what we can multiply to get the number. Multiples are what we get after multiplying the number by an integer (not a fraction). Example- \[1\times 6=6\], so 1 and 6 are factors of 6. \[2\times 3=6\], so 2 and 3 are factors of 6. \[0\times 6=0\], so 0 is a multiple of 6. \[1\times 6=6\], so 6 is a multiple of 6. \[2\times 6=12\], so 12 is a multiple of 6 and so on. A prime number has only two factors: 1 and itself. A composite number has more than two factors. A number which gets divided by 2 is an even number and the number which does not get divided by 2 is an odd number.

Now let’s check option (a), So according to the above definition and examples of factor and multiples we can say that every number is a factor and multiple of itself as in the example 6 is both factor and multiple. So option (a) is correct.

Now moving on to option (b), a number can either be prime or composite. So option (b) is wrong.

Finally checking option (c), similarly a number is either even or odd. So option (c) is incorrect.
Hence the correct answer is option (a).

Note: Knowing the definition of all the options given in the question will help us to easily eliminate the wrong options. We in a hurry can make a mistake by thinking option (d) as the correct answer and hence we need to be careful with the definitions.