# Prime Numbers from 1 to 1000

Prime numbers are natural numbers which 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. Since 1 is not a prime number, as it has only one factor, therefore, we will start the list from 2.

 Numbers Number of prime numbers List of prime numbers 1 to 100 25 numbers 2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37, 41, 43, 47, 53, 59, 61, 67, 71, 73, 79, 83, 89, 97 101-200 21 numbers 101, 103, 107, 109, 113, 127, 131, 137, 139, 149, 151, 157, 163, 167, 173, 179, 181, 191, 193, 197, 199 201-300 16 numbers 211, 223, 227, 229, 233, 239, 241, 251, 257, 263, 269, 271, 277, 281, 283, 293 301-400 16 numbers 307, 311, 313, 317, 331, 337, 347, 349, 353, 359, 367, 373, 379, 383, 389, 397 401-500 17 numbers 401, 409, 419, 421, 431, 433, 439, 443, 449, 457, 461, 463, 467, 479, 487, 491, 499 501-600 14 numbers 503, 509, 521, 523, 541, 547, 557, 563, 569, 571, 577, 587, 593, 599 601-700 16 numbers 601, 607, 613, 617, 619, 631, 641, 643, 647, 653, 659, 661, 673, 677, 683, 691 701-800 14 numbers 701, 709, 719, 727, 733, 739, 743, 751, 757, 761, 769, 773, 787, 797 801-900 15 numbers 809, 811, 821, 823, 827, 829, 839, 853, 857, 859, 863, 877, 881, 883, 887 901-1000 14 numbers 907, 911, 919, 929, 937, 941, 947, 953, 967, 971, 977, 983, 991, 997 Total number of prime numbers (1 to 1000) = 168

Hence, 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 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

Therefore, this way we can find all the prime numbers.