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Q.
The smallest odd composite number is ____.
Subtopics: Converting Percentages to “How Many”
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Detailed Solution
We are asked to find the smallest odd composite number.
We know that a number having more than 2 factors is called a composite number.
Let us consider the first odd number that is 1
Here, we can see that the number 1 has one and only one factor that is 1
We know that the number having only 2 factors is called the prime number.
So, we can conclude that 1 is neither prime nor composite.
Now, let us consider the next odd number that is 3
We know that the factors of 3 are 1 and 3 only
By using the prime number definition we can conclude that 3 is the prime number.
Now, let us consider the next odd number that is 5
We know that the factors of 5 are 1 and 5 only
By using the prime number definition we can conclude that 5 is the prime number.
Now, let us consider the next odd number that is 7
We know that the factors of 7 are 1 and 7 only
By using the prime number definition we can conclude that 7 is the prime number.
Now, let us consider the next odd number that is 9
Now, let us use the prime factorisation method for 9 then we get
⇒9 = 32
Here, we can see that the number 9 have three factors as 1, 3 and 9
We know that a number having more than 2 factors is called a composite number.
Therefore we can conclude that the number 9 is a composite number.
Here, we can see that we checked the odd numbers from smallest
So, we can say that the first odd composite number will be the smallest odd composite number
Therefore, we can conclude that the smallest odd composite number is 9.
We know that a number having more than 2 factors is called a composite number.
Let us consider the first odd number that is 1
Here, we can see that the number 1 has one and only one factor that is 1
We know that the number having only 2 factors is called the prime number.
So, we can conclude that 1 is neither prime nor composite.
Now, let us consider the next odd number that is 3
We know that the factors of 3 are 1 and 3 only
By using the prime number definition we can conclude that 3 is the prime number.
Now, let us consider the next odd number that is 5
We know that the factors of 5 are 1 and 5 only
By using the prime number definition we can conclude that 5 is the prime number.
Now, let us consider the next odd number that is 7
We know that the factors of 7 are 1 and 7 only
By using the prime number definition we can conclude that 7 is the prime number.
Now, let us consider the next odd number that is 9
Now, let us use the prime factorisation method for 9 then we get
⇒9 = 32
Here, we can see that the number 9 have three factors as 1, 3 and 9
We know that a number having more than 2 factors is called a composite number.
Therefore we can conclude that the number 9 is a composite number.
Here, we can see that we checked the odd numbers from smallest
So, we can say that the first odd composite number will be the smallest odd composite number
Therefore, we can conclude that the smallest odd composite number is 9.
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