Java Program Excercises topic Wise

 ControlStructures:

1)If we list all the natural numbers below 10

$10$ that are multiples of $3$ 3 or 5 $5$, we get 3,5,6,$3,5,6$ and 9 $9$. The sum of these multiples is 23$23$.

Find the sum of all the multiples of $3$ 3 or 5  $5$ below $1000$1000.

2)Each new term in the Fibonacci sequence is generated by adding the previous two terms. By starting with 1

$1$ and 2 $2$, the first $10$ 10 terms will be:1 2 3 5 8 13 21 34 55 89 ....$$1,2,3,5,8,13,21,34,55,89,\dots$$

By considering the terms in the Fibonacci sequence whose values do not exceed four million, find the sum of the even-valued terms.

3)The prime factors of 13195

$13195$ are 5,7,13 $5,7,13$ and $29$ 29.

What is the largest prime factor of the number 600851475143$600851475143$?

4)A palindromic number reads the same both ways. The largest palindrome made from the product of two 

$2$2-digit numbers is $9009=91\times 99$.

Find the largest palindrome made from the product of two $3$3-digit numbers.

5)

 2520 is the smallest number that can be divided by each of the numbers from $1$ 1 to 10$10$ without any remainder.

What is the smallest positive number that is evenly divisible by all of the numbers from 1$1$ to 20$20$?