Prime Numbers from 1 to 1000

Prime numbers from 1 to 1000 will include the list of primes, that have only two factors, i.e. 1 and the number itself. To find the prime numbers from 1 to 1000, we need to check if the number is a natural number and has no positive divisor other than 1 and itself. We do not consider 1 as a prime number, as it has only one factor but other prime numbers have two factors.

For example, 5 is a prime number, because it has only two factors, 1 and 5, such as;

• 5 = 1 x 5

But 4 is not a prime number, as it has more than two factors, 1, 2 and 4, such as:

• 1 x 4 = 4
• 2 x 2 = 4

Here, 4 is said to be a composite number. These factors can be determined with the help of the prime factorisation method.

List of Prime Numbers 1 to 1000

Now, let us see here the list of prime numbers starting from 1 to 1000. We should remember that 1 is not a prime number, as it has only one factor. Thus, the prime numbers start from 2.

From the above list of prime numbers, we can find that each of the primes has only two factors.

Prime Numbers 1 to 100 – Download PDF

How to Find Prime Numbers From 1 to 1000?

By the definition of prime numbers, we know that, the prime number will have only two factors. In the above given list, the numbers provided are all prime numbers. We can cross check with any of these numbers to know if they are prime or not, by prime factorising them.

For example:

• 709 = 1 x 709, only two factors
• 911 = 1 x 911, only two factors
• 401 = 1 x 401, only two factors

But if we check with any other, let us say, 15, then the factors of 15 are:

• 1 x 15 = 15
• 3 x 5 = 15

Thus, there is a total of four factors: 1, 3, 5, and 15. So, 15 is not a prime number.

Therefore, this way we can find all the prime numbers. Let us see some of the properties of prime numbers, to make it easier to find them.

Properties of Prime Numbers

• A prime number will have only two factors, 1 and number itself
• 2 is the only even prime number
• All the even numbers greater than 2, are the product of two or more prime numbers

Video Lesson on Prime Numbers

Related Articles

• Prime Numbers Up to 100
• Prime Factorization
• Prime Factors
• Co-Prime Numbers
• How to Find Prime Numbers?

Solved Examples

Q.1: From the list of prime numbers 1 to 1000 given above, find if 825 is a prime number or not?

Solution: The list of prime numbers from 1 to 1000 does not include 825 as a prime number. It is a composite number since it has more than two factors. We can confirm this by prime factorisation of 825 also.

Prime Factorization of 825 = 3¹ × 5² × 11¹

Hence, 825 include more than two factors.

Q.2: Find if 911 is a prime number or not?

Solution: Since, 911 has only two factors, 1 and 911. Therefore, 911 is a prime number.

911 = 1 x 911

Q.3: What are the factors of 443?

Solution: Since 443 is a prime number, therefore, it has only two factors 1 and 443.

Q.4: What are the prime numbers from 1 to 300? How many are they?

Solution: The prime numbers from 1 to 300 are:

2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37, 41, 43, 47, 53, 59, 61, 67, 71, 73, 79, 83, 89, 97, 101, 103, 107, 109, 113, 127, 131, 137, 139, 149, 151, 157, 163, 167, 173, 179, 181, 191, 193, 197, 199, 211, 223, 227, 229, 233, 239, 241, 251, 257, 263, 269, 271, 277, 281, 283, 293.

Therefore, there is a total of 62 prime numbers between 1 to 300.

Practice Questions

1. Which of the following statements are true or false?
   • 1 is a prime number – ______
   • 2 is the only even prime number – ______
   • 1000 is not a prime number – ______
   • A prime number has more than two factors – ______
2. Find if 221 is a prime number or not.