
How many composite numbers are between 1 and 100?
Answer
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Hint: Composite numbers are those natural numbers that are not prime and have more than two positive factors.
Complete step by step solution:
First of all, let us check how to determine the composite numbers:
Find all the factors of a given number.
If the number has more than two factors, then it is composite.
The best way to figure out if it is a composite number is to perform a divisibility test.
The rule states that a number is divisible by any composite number – if it is divisible by each of its factors.
Performing the divisibility test will help us to determine whether or not a number is a prime or composite number.
So, we need to find the composite number between 1 and 100. Let’s start –
Is 1 a composite number?
Let’s get its factors
Only 1 is the factor so it is not a composite number.
Is 2 a composite number?
Let’s get its factors
Only 1 and 2 are the factor so it is not a composite number.
Is 3 a composite number?
Let’s get its factors
Only 1 and 3 is the factor so it is not a composite number.
Is 4 a composite number?
Let’s get its factors
The factors of 4 are 1, 2, and 4. So it has 3 factors, which means 4 is the first composite number.
Is 5 a composite number?
Let’s get its factors
Only 1 and 5 is the factor so it is not a composite number.
Is 6 a composite number?
Let’s get its factors
The factors of 6 are 1, 2, 3, and 6. So it has 4 factors, which means 6 is the composite number.
Is 7 a composite number?
Let’s get its factors
Only 1 and 7 are the factor so it is not a composite number.
Is 8 a composite number?
Let’s get its factors
The factors of 8 are 1, 2, 4, and 8. So it has 4 factors, which means 8 is the composite number.
Is 9 a composite number?
Let’s get its factors
The factors of 8 are 1, 3, and 9. So it has 3 factors, which means 9 is the composite number.
Is 10 a composite number?
Let’s get its factors
The factors of 10 are 1, 2, 5, and 10. So it has 4 factors, which means 10 is the composite number.
So from 1 to 10, there are 5 composite numbers: 4, 6, 8, 9, and 10.
Similarly, if we follow the above-mentioned steps, we will be able to find the composite numbers between 1 and 100.
By using the above steps below is the list of composite numbers between 1 to 100 (including 1 and 100)
There are 74 composite number numbers between 1 to 100 (including 1 and 100)
Note: A perfect square is always composite.
Every even composite number will have 2 as its factors.
Two composite numbers may be coprime or relatively prime.
Complete step by step solution:
First of all, let us check how to determine the composite numbers:
Find all the factors of a given number.
If the number has more than two factors, then it is composite.
The best way to figure out if it is a composite number is to perform a divisibility test.
The rule states that a number is divisible by any composite number – if it is divisible by each of its factors.
Performing the divisibility test will help us to determine whether or not a number is a prime or composite number.
So, we need to find the composite number between 1 and 100. Let’s start –
Is 1 a composite number?
Let’s get its factors
Only 1 is the factor so it is not a composite number.
Is 2 a composite number?
Let’s get its factors
Only 1 and 2 are the factor so it is not a composite number.
Is 3 a composite number?
Let’s get its factors
Only 1 and 3 is the factor so it is not a composite number.
Is 4 a composite number?
Let’s get its factors
The factors of 4 are 1, 2, and 4. So it has 3 factors, which means 4 is the first composite number.
Is 5 a composite number?
Let’s get its factors
Only 1 and 5 is the factor so it is not a composite number.
Is 6 a composite number?
Let’s get its factors
The factors of 6 are 1, 2, 3, and 6. So it has 4 factors, which means 6 is the composite number.
Is 7 a composite number?
Let’s get its factors
Only 1 and 7 are the factor so it is not a composite number.
Is 8 a composite number?
Let’s get its factors
The factors of 8 are 1, 2, 4, and 8. So it has 4 factors, which means 8 is the composite number.
Is 9 a composite number?
Let’s get its factors
The factors of 8 are 1, 3, and 9. So it has 3 factors, which means 9 is the composite number.
Is 10 a composite number?
Let’s get its factors
The factors of 10 are 1, 2, 5, and 10. So it has 4 factors, which means 10 is the composite number.
So from 1 to 10, there are 5 composite numbers: 4, 6, 8, 9, and 10.
Similarly, if we follow the above-mentioned steps, we will be able to find the composite numbers between 1 and 100.
By using the above steps below is the list of composite numbers between 1 to 100 (including 1 and 100)
There are 74 composite number numbers between 1 to 100 (including 1 and 100)
Composite number between 1 to 10 | 4, 6, 8, 9, 10 |
Composite number between 11 to 20 | 12, 14, 15, 16, 18, 20 |
Composite number between 21 to 30 | 21, 22, 24, 25, 26, 27, 28, 30 |
Composite number between 31 to 40 | 32, 33, 34, 35, 36, 38, 39, 40 |
Composite number between 41 to 50 | 42, 44, 45, 46, 48, 49, 50 |
Composite number between 51 to 100 | 51, 52, 54, 55, 56, 57, 58, 60, 62, 63, 64, 65, 66, 68, 69, 70, 72, 74, 75, 76, 77, 78, 80, 81, 82, 84, 85, 86, 87, 88, 90, 91, 92, 93, 94, 95, 96, 98, 99, 100 |
Note: A perfect square is always composite.
Every even composite number will have 2 as its factors.
Two composite numbers may be coprime or relatively prime.
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