Prime Numbers 100 to 1000
2026-02-28 12:52 Diff
https://brightchamps.com/en-us/math/numbers/prime-numbers-100-to-1000

Prime numbers are a set of natural numbers that can only be divided by 1 and the number itself. Here are two important ways to determine whether a number is prime or not.

By Divisibility Method:

To find whether a number is prime or not, we use the divisibility method to check. If a number is divisible by 2, 3, 5, or other small primes, then it is not a prime number. Prime numbers are only divisible by 1 and themselves, so if a number is divisible by the number itself and 1, it is a prime number.

For example: To check whether 137 is a prime number,

Step 1: 137 ÷ 2 = 68.5 (remainder ≠ 0)

Step 2: 137 ÷ 3 ≈ 45.67 (remainder ≠ 0)

Step 3: 137 ÷ 5 = 27.4 (remainder ≠ 0)

Since no divisors are found, 137 is a prime number.

By Prime Factorization Method:

The prime factorization method involves breaking down a composite number into the product of its prime factors. The method of prime factorization helps identify the prime numbers up to 1000 by building the smallest blocks of any given number.

For example: The prime factorization of 1000: Break it down into the smallest prime numbers until it can’t divide anymore.

Step 1: 1000 ÷ 2 = 500

Step 2: Now, divide 500, 500 ÷ 2 = 250

Step 3: Now take 250, 250 ÷ 2 = 125

Step 4: Take 125, since 125 ends in 5, divide the number by 5 ,125 ÷ 5 = 25

Step 5: Take 25, 25 ÷ 5 = 5

Step 6: At last, take 5. 5 ÷ 5 = 1 (since 5 is a prime number, and dividing by 5 gives 1)

Therefore, the prime factorization of 1000 is: 1000 = 23 × 53.