Is 983 a prime number?

The number 983 has only 2 factors, which are capable of dividing the number completely without leaving any remainder. Thus, the number 983 is a prime number. The factors of 983 include 1 and 983.

A number to be a prime number should follow the criteria, which is that it should not have factors more than 2. Here, 983 has exactly 2 factors, hence making it a prime number.

Given below are a few ways that can be used to find prime or composite numbers.

The different methods we can use to check if a number is a prime number are explained below:

1. Counting Divisors Method
2. Divisibility Test
3. Prime Number Chart
4. Prime Factorization

For the counting divisors method, it is to be checked whether the number is divisible by any numbers other than 1 and the number itself.

The counting divisors method for 983 would simply be:

Divisors of 983 = 1, 983
Number of divisors = 2

The number 983 can be considered a prime number.

In the division test, we try to divide the number by any of the prime numbers. If we cannot, then it is considered a prime number.

In the divisibility method, the prime number only has 2 divisors, which are 1 and itself.

For 983, none of the prime numbers smaller than its square root (approximately 31.4) divide it completely without a remainder.

Thus, 983 consists of only 2 factors that divide it completely without any remainder, making it a prime number.

The prime number chart is the list of prime numbers starting from 2 to infinity.

The list of prime numbers under 1000 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, 307, 311, 313, 317, 331, 337, 347, 349, 353, 359, 367, 373, 379, 383, 389, 397, 401, 409, 419, 421, 431, 433, 439, 443, 449, 457, 461, 463, 467, 479, 487, 491, 499, 503, 509, 521, 523, 541, 547, 557, 563, 569, 571, 577, 587, 593, 599, 601, 607, 613, 617, 619, 631, 641, 643, 647, 653, 659, 661, 673, 677, 683, 691, 701, 709, 719, 727, 733, 739, 743, 751, 757, 761, 769, 773, 787, 797, 809, 811, 821, 823, 827, 829, 839, 853, 857, 859, 863, 877, 881, 883, 887, 907, 911, 919, 929, 937, 941, 947, 953, 967, 971, 977, 983.

983 is present in the list, confirming it is a prime number.

Prime Number: A natural number greater than 1 that has no divisors other than 1 and itself. For example, 983 is a prime number because its only divisors are 1 and 983.

Divisibility Test: A method used to determine if one number can be divided by another without leaving a remainder. For 983, none of the prime numbers smaller than its square root divide it completely, confirming it is prime.

Divisors: Numbers that can divide a given number completely without leaving a remainder. For 983, the only divisors are 1 and 983.

Composite Number: A number that has more than two divisors. For example, 983 is not a composite number because it has only two divisors, making it a prime number.

Prime Factorization: The expression of a number as the product of its prime factors. Since 983 is a prime number, it cannot be factorized further and is only divisible by 1 and itself.