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Q.
Every number is a ____ and ____ of itself.
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a
Factor, multiple
b
Prime, composite.
c
Even, odd.
d
None of these.
answer is A.
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Detailed Solution
Concept- Here, we'll examine each of the available options, review their meanings, and determine whether or not the choice matches the blank. We'll also see if the suggested conclusion fits the context of the statement. In order to determine whether the numbers meet the criteria of the question, we will use instances of the provided phrases.
We'll begin our analysis with option 1.
Any number that completely divides another number (resulting in a quotient that is a whole number) and leaves a remainder of zero is a factor. Because 1 is the quotient and 0 is the remainder when a number is divided by itself, every integer is a factor of itself.
Take any number, let's say 12, and use it as an example to assist us grasp this. The number 12 can be formulated as follows:-
There are several factors of 12, including 1, 2, 3, 4, 6, and 12.
The result of multiplying any number by an integer is referred to as the product of that number. Because the result of multiplying a number by one is the same as the original number, every integer is a multiple of itself. Again, we'll use the number 12 as an example:
The fact that 12 is a multiple of itself is very obvious.
Let's look at option 2 now.
A prime number is any number with only two factors—one and itself. A composite number is any number that is not a prime number. It is impossible for a single integer to be both prime and composite. Option B is therefore untrue.
Check out option 3 first.
An even number is any number that can be divided by 2. An odd number is any number that cannot be divided by 2. A number cannot simultaneously be even and odd. Option 3 is therefore untrue.
Let's look at option 4, which is none of them, last.
We can see that selecting option 1 will allow us to complete the phrase.
Hence, option 1 is correct.
We'll begin our analysis with option 1.
Any number that completely divides another number (resulting in a quotient that is a whole number) and leaves a remainder of zero is a factor. Because 1 is the quotient and 0 is the remainder when a number is divided by itself, every integer is a factor of itself.
Take any number, let's say 12, and use it as an example to assist us grasp this. The number 12 can be formulated as follows:-
The result of multiplying any number by an integer is referred to as the product of that number. Because the result of multiplying a number by one is the same as the original number, every integer is a multiple of itself. Again, we'll use the number 12 as an example:
Let's look at option 2 now.
A prime number is any number with only two factors—one and itself. A composite number is any number that is not a prime number. It is impossible for a single integer to be both prime and composite. Option B is therefore untrue.
Check out option 3 first.
An even number is any number that can be divided by 2. An odd number is any number that cannot be divided by 2. A number cannot simultaneously be even and odd. Option 3 is therefore untrue.
Let's look at option 4, which is none of them, last.
We can see that selecting option 1 will allow us to complete the phrase.
Hence, option 1 is correct.
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