Computer Applications
Predict the output :
class FindFac {
public static void main (String args[]) {
for(int i = 2; i <= 100; i++) {
System.out.print("Factors of" + i + ": ");
for(int j = 2; j < i; j++)
if((i % j) == 0)
System.out.print(j + " ");
System.out.println();
}
}
}
Java
Java Nested for Loops
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Answer
The output of the program is a list of the factors of each integer between 2 and 100, printed to the console.
Factors of2:
Factors of3:
Factors of4: 2
Factors of5:
Factors of6: 2 3
Factors of7:
Factors of8: 2 4
Factors of9: 3
Factors of10: 2 5
...
...
Factors of95: 5 19
Factors of96: 2 3 4 6 8 12 16 24 32 48
Factors of97:
Factors of98: 2 7 14 49
Factors of99: 3 9 11 33
Factors of100: 2 4 5 10 20 25 50
Working
This Java program finds the factors of integers between 2 and 100.
The program uses two nested for loops to generate the integers to be factored and to find their factors. The outer for loop generates the numbers from 2 to 100 whose factors are to be found.
The inner for loop starts with j = 2 and continues until j < i, incrementing j by 1 each time through the loop. This loop checks whether j is a factor of i by checking whether the remainder of i divided by j is equal to zero. If j is a factor of i, it is printed to the console on the same line as the message "Factors of [i]: ".
After the inner loop has completed, a newline character is printed to the console using System.out.println(). This causes the next message ("Factors of [i+1]: ") to be printed on a new line.
Let us consider the execution of nested 'for' loop for a single value of i (say, i = 6). The given table follows the execution:
| i | i <= 100 | j | j < i | (i % j) == 0 | Output | Remarks |
|---|---|---|---|---|---|---|
| 6 | True | 2 | True | True | Factors of 6: 2 | 6 % 2 = 0 |
| 3 | True | True | Factors of 6: 2 3 | 6 % 3 = 0 | ||
| 4 | True | False | 6 % 4 ≠ 0 | |||
| 5 | True | False | 6 % 5 ≠ 0 | |||
| 6 | False | j becomes equal to i, inner loop terminates and i becomes 7 |
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