Here Is the Easiest Way to Find Prime Numbers

BY Team Aakash Byjus

Prime Numbers:

Prime Number

A prime number is a number that can be divided by just one and the number itself.

Methods to Find Prime Numbers

Method 1 Factorization Method

Finding prime numbers is best accomplished through factorization.  The following are the stages involved in the factorization method.

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Step 1 First, determine the factors of the given number.

Step 2 Check how many factors the given number has.

Step 3 If the number of factors is two, then it is a prime, and if the number of factors is more than two, then it is not a prime number.

Method 2 Identifying a Large Prime Number

Follow the procedure given in the next slide to determine whether a large number is a prime number.

Step 1 Examine the unit’s place of the given number. If the units place has either 0, 2, 4, 6, or 8, it’s not a prime number.

Step 2 Take the sum of the digits of the given number. A number is not a prime number if the sum is divisible by three.

Step 3 If the result of steps 1 and 2 is false, find out the square root of the number.

Step 4 A large number ending with the digit 5 or 0 is not a prime number as it can be divided by 5.

- The Sieve of    Eratosthenes to get    rid of non-prime    numbers. - Take 1-50 prime    numbers, starting    from 1. - One is neither prime    nor composite, so we    can cross it out. Now    circle 2 as it is a   prime.

Method 3

2 is the only even prime number.  Now, cross out the multiples of 2 and circle the next prime number, ‘3’ and cross out all multiples of 3 and continue the procedure.