C Program To Find Prime Numbers From 1 To 300 using For Loop

Lets write a C program to print all the prime numbers from 1 to 300. (Hint: Use nested loops, break and continue).

Prime Number: is a natural number greater than 1, which has no positive divisors other than 1 and itself.

Note: Number 1 is neither prime nor composite number.

Related Read:
Nested For Loop In C Programming Language
C Program To Find Prime Number or Not using For Loop

Continue Statement In C Programming Language
break Statement In C Programming Language

Video Tutorial: C Program To Find Prime Numbers From 1 To 300 using For Loop


[youtube https://www.youtube.com/watch?v=a9GtETARgPk]

YouTube Link: https://www.youtube.com/watch?v=a9GtETARgPk [Watch the Video In Full Screen.]

Outer For loop Logic

Outer for loop selects number one by one for each iteration. We initialize num to 1 and for each iteration num value increments by 1. Outer for loop executes until num is less than or equal to 300.

Inner For loop Logic

All the numbers are perfectly divisible by number 1, so we initialize the variable i to 2, instead of 1. So our inner for loop starts checking for divisibility from number 2.

The selected number(selected by outer for loop and stored in variable num), is divided by numbers 2 to num-1 times. If num is perfectly divisible by any number between 2 to num-1, then the number is not a prime number, else its a prime number.

Source Code: C Program To Find Prime Numbers From 1 To 300 using For Loop

#include<stdio.h >
#include<math.h>

int main()
{
    int num, count, i, prime;

    printf("Prime Numbers from 1 To 300 are\n");

    for(num = 1; num <= 300; num++)
    {
        if(num == 1)
        {
            printf("Number 1 is neither prime nor composite\n");
            continue;
        }

        count = sqrt(num);
        prime = 1;
        for(i = 2; i <= count; i++)
        {
            if(num % i == 0)
            {
                prime = 0;
                break;
            }
        }

        if(prime)
        {
            printf("%d\t", num);
        }
    }

    return 0;
}

Output:
Prime Numbers from 1 To 300 are
Number 1 is neither prime nor composite
2
3
5
7
11
13
17
19
23
29
31
37
41
43
47
53
59
61
67
71
73
79
83
89
97
101
103
107
109
113
127
131
137
139
149
151
157
163
167
173
179
181
191
193
197
199
211
223
227
229
233
239
241
251
257
263
269
271
277
281
283
293

Table of all prime numbers up to 1,000:

prime number or not

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C Program To Find Prime Number or Not using For Loop

Lets write a C program to check whether user input number is prime number or not, using for loop.

Prime Number: is a natural number greater than 1, which has no positive divisors other than 1 and itself.

Related Read:
For Loop In C Programming Language
if else statement in C
break Statement In C Programming Language

In this video tutorial we’re illustrating 3 methods to find if the user entered number is prime number or not.

For loop Logic

All the numbers are perfectly divisible by number 1, so we initialize the variable count to 2. So our c program starts checking for divisibility from number 2.

Video Tutorial: C Program To Find Prime Number or Not using For Loop


[youtube https://www.youtube.com/watch?v=FzHHB5EqNA0]

YouTube Link: https://www.youtube.com/watch?v=FzHHB5EqNA0 [Watch the Video In Full Screen.]

Method 1 Source Code: Prime Number or Not

#include<stdio.h>

int main()
{
    int num, count, prime = 1;

    printf("Enter a positive number\n");
    scanf("%d", &num);

    for(count = 2; count < num; count++)
    {
        if(num % count == 0)
        {
            prime = 0;
            break;
        }
    }

    if(prime)
        printf("%d is a Prime Number\n", num);
    else
        printf("%d is a not Prime Number\n", num);

    return 0;
}

Output 1:
Enter a number
7
7 is prime number

Output 2:
Enter a number
10
10 is not prime number

Logic: Method 1

We ask the user to enter a positive number and store it in variable num. Using for loop we start dividing the user entered number from 2 to num-1 times. If any number from 2 to num-1 perfectly divide the user entered number, then it’s not a prime number. We assign value 0 to variable prime and break out of the loop and print the message to the user.

Method 2 Source Code: Prime Number or Not: Divide By 2

#include<stdio.h>

int main()
{
    int num, count, prime = 1, inum;

    printf("Enter a positive number\n");
    scanf("%d", &num);

    inum = num / 2;

    for(count = 2; count <= inum; count++)
    {
        if(num % count == 0)
        {
            prime = 0;
            break;
        }
    }

    if(prime)
        printf("%d is a Prime Number\n", num);
    else
        printf("%d is a not Prime Number\n", num);

    return 0;
}

Output 1:
Enter a number
41
41 is prime number

Output 2:
Enter a number
15
15 is not prime number

Logic: Method 2

Please read the logic for method 1 above before proceeding.
In this method, we divide the user entered number by 2. This reduces the number of iterations of for loop.

If num = 41;
inum = num / 2;
inum = 41 / 2;
inum = 20;

So its enough if we iterate through the for loop 19(num/2) times to check if number 41 is perfectly divisible by any number from 2 to 20.

Method 3 Source Code: Prime Number or Not: square root Method

#include<stdio.h>
#include<math.h>

int main()
{
    int num, count, prime = 1, inum;

    printf("Enter a positive number\n");
    scanf("%d", &num);

    inum = sqrt(num);

    for(count = 2; count <= inum; count++)
    {
        if(num % count == 0)
        {
            prime = 0;
            break;
        }
    }

    if(prime)
        printf("%d is a Prime Number\n", num);
    else
        printf("%d is a not Prime Number\n", num);

    return 0;
}

Output 1:
Enter a number
50
50 is not prime number

Output 2:
Enter a number
53
53 is prime number

Logic: Method 3

Please read the logic for method 1 above before proceeding.
In this method, we apply square root to the user entered number and store it inside variable inum. This reduces the number of iterations of for loop even further.

If num = 41;
inum = sqrt(num);
inum = sqrt(41);
inum = 6;

So its enough if we iterate through the while loop 5( sqrt(num) ) times to check if number 41 is perfectly divisible by any number from 2 to 6.

Table of all prime numbers up to 1,000:

prime number or not

Note: We are not using curly braces around if and else because we only have 1 line of code after if and else – so curly braces are optional. If we have multiple lines of code, then we must use curly braces to wrap around the block of code.

You can also watch video for C Program To Find Prime Number or Not using While Loop

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break Statement In C Programming Language

In this video tutorial lets learn more about the working of break statement or break keyword in C programming language.

Related Read:
Nested For Loop In C Programming Language

Video Tutorial: break Statement In C Programming Language


[youtube https://www.youtube.com/watch?v=7WsVGKKs2bg]

YouTube Link: https://www.youtube.com/watch?v=7WsVGKKs2bg [Watch the Video In Full Screen.]


Source Code: break Statement In C Programming Language : For Loop

#include<stdio.h>

int main()
{
    int i;

    for(i = 1; i <= 5; i++)
    {
        if(i == 3)
            break;

        printf("%d Apple\n", i);
    }
    printf("\nEnd of for loop.\n", i);
    return 0;
}

Output:
1 Apple
2 Apple

End of for loop.

In above C program we introduce break keyword when i is equal to 3. so for 3rd iteration of the for loop control exits the loop and whatever instructions present after the for loop gets executed.

Source Code: Continue Statement In C Programming Language : Nested For Loop

#include<stdio.h>

int main()
{
    int i, j;

    for(i = 1; i <= 5; i++)
    {
        printf("%d Apple\n", i);

        for(j = 1; j <= 3; j++)
        {
            if(j == 2)
                break;

            printf("\t%d Oracle\n", j);
        }

    }
    printf("\nEnd of for loop.\n", i);
    return 0;
}

Output:

1 Apple
        1 Oracle
2 Apple
        1 Oracle
3 Apple
        1 Oracle
4 Apple
        1 Oracle
5 Apple
        1 Oracle

End of for loop.

In above C program, inside inner for loop we’ve break keyword when j value is equal to 2. So once the keyword break is encountered, control exits the inner for loop. This doesn’t affect the outer for loop, as the keyword break is present inside the inner for loop.

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For full C programming language free video tutorial list visit:C Programming: Beginner To Advance To Expert

Continue Statement In C Programming Language

In this video tutorial lets learn more about the working of continue statement or continue keyword in C programming language.

Related Read:
Nested For Loop In C Programming Language

Video Tutorial: Continue Statement In C Programming Language


[youtube https://www.youtube.com/watch?v=P1tNHbymJm4]

YouTube Link: https://www.youtube.com/watch?v=P1tNHbymJm4 [Watch the Video In Full Screen.]


Source Code: Continue Statement In C Programming Language : For Loop

#include<stdio.h>

int main()
{
    int i;

    for(i = 1; i <= 5; i++)
    {
        if(i == 3)
            continue;

        printf("%d Apple\n", i);
    }

    return 0;
}

Output:
1 Apple
2 Apple
4 Apple
5 Apple

In above C program we introduce continue keyword when i is equal to 3. So whatever the instructions / statements present after the keyword continue will be skipped and the control will be transferred to the next iteration of the for loop.

Source Code: Continue Statement In C Programming Language : Nested For Loop

#include<stdio.h>

int main()
{
    int i, j;

    for(i = 1; i <= 5; i++)
    {
        printf("%d Apple\n", i);

        for(j = 1; j <= 3; j++)
        {
            if(j == 2)
                continue;

            printf("\t%d Oracle\n", j);
        }

    }

    return 0;
}

Output:

1 Apple
        1 Oracle
        3 Oracle
2 Apple
        1 Oracle
        3 Oracle
3 Apple
        1 Oracle
        3 Oracle
4 Apple
        1 Oracle
        3 Oracle
5 Apple
        1 Oracle
        3 Oracle

In above C program, inside inner for loop we’ve continue keyword when j value is equal to 2. So once the keyword continue is encountered, control directly switches to or transfers to the next iteration of the for loop, skipping all the statements after the keyword continue.

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For full C programming language free video tutorial list visit:C Programming: Beginner To Advance To Expert

C Program To Print Matrix using Nested For Loop

Lets write a simple C program to print/display a 3×5 matrix using nested for loop.

Note:
3×5 matrix means, a Matrix with 3 rows and 5 columns.

Related Read:
Nested For Loop In C Programming Language

Logic To Print Matrix using Nested For Loop

Outer for loop selects the rows. Inner for loop prints elements of that row. Next outer for loop selects the next row, and the inner for loop prints elements for that selected row. This continues until all the elements of the Matrix are printed.

Video Tutorial: C Program To Print Matrix using Nested For Loop


[youtube https://www.youtube.com/watch?v=lYikrWLI96g]

YouTube Link: https://www.youtube.com/watch?v=lYikrWLI96g [Watch the Video In Full Screen.]


Source Code: C Program To Print Matrix using Nested For Loop

#include<stdio.h>

int main()
{
    int row, col;

    for(row = 1; row <= 3; row++)
    {
        for(col = 1; col <= 5; col++)
        {
            printf("\t%d", col);
        }

        printf("\n");
    }

    return 0;
}

Output:

        1       2       3       4       5
        1       2       3       4       5
        1       2       3       4       5

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For full C programming language free video tutorial list visit:C Programming: Beginner To Advance To Expert