Project Euler(3)

Posted on Monday, November 24th, 2008 at 10:26 pm by Universe Queen

Problem 3:

The prime factors of 13195 are 5, 7, 13 and 29.

What is the largest prime factor of the number 600851475143 ?

Answer: 6857

Implementation in Java:

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public class Euler3 
{
	public static boolean isPrime( long number )
	{
		if( number < 2 )
		{
			return false;
		}
		else if ( number == 2 )
		{
			return true;
		}
		else
		{
			for( long i=2; i<=Math.sqrt(number); i++ )
			{
				if( number%i == 0 )
				{
					return false;
				}
			}
		}
 
		return true;
	}
 
	public static void main(String[] args) 
	{	
		long result = 0;
 
		for( long i=2; i<Math.sqrt(600851475143l); i++ )
		{
			if( isPrime(i) )
			{
				if( 600851475143l%i == 0 )
				{
					result = i;
				}
			}	
		}
 
		System.out.println( result );
	}
}

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    It does not work for 28 i think we could 7 in your solution it comes 2

    i think that there are prime factors greater than square root of n, but if you don’t find one before square root of n then there won’t be any prime factors

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