Is 29 a Prime Number?

IS 29 A PRIME NUMBER OR A COMPOSITE NUMBER?

The answer to this question is – Yes. 29 is indeed a prime number. A whole number can be categorised either into a prime number or a composite number based on the number of factors it has. If the number has only two factors which are the number itself and 1, then it is called a prime number but if the number has more than two factors then it is a non-prime (composite) number.

For example: 2 is a prime number because it has only two factors –   1 x 2 = 2

19 is a prime number because it also has only two factors –   1 x 19 = 19

19 cannot be written as a product of any two other numbers.

25 is a composite number because it has more than two factors – 1, 5, 25 (5×5 = 25, 1×25 = 25)

WHAT ARE THE FACTORS OF 29?

The number 29 has only two factors as it can be written as a product of two factors only which are 1 and 29 (1 x 29 = 29). 

HOW TO CHECK IF A NUMBER IS PRIME OR COMPOSITE?

Prime numbers can be easily determined with the following steps:

1. Check if it is divisible by any number less than 10.
2. Check if it is a perfect square ( Example: 25 is a perfect square of 5).
3. Check the factors of the number. If it has only 1 and the number itself as the factor then it is a prime number.

HOW TO CONFIRM IF 29 IS PRIME NUMBER?

29 is a prime number because 

1. It is not divisible by 2 as it does not have 0, 2, 4, 6, 8 at its ones. 
2. The sum of 2 + 9 = 11 which is neither a multiple of 3 nor 9. 
3. 29 cannot be completely divided by 4 or 8. 
4. 29 doesn’t end with 0 or 5. Thus, it is not divisible by 5.
5. Since it is neither divisible by 2 or 3, so it is not a multiple of 6.
6. 29 is also not a multiple of 7.
7. 29 is not a perfect square of any number. 5.38 is the square root of 29.
8. 29 can only be written as the product of 29 and 1. Thus satisfying the condition for being a prime number.