Yes.
Try dividing the number by every Prime number up to its square root. If none of these divide the number evenly then it is a prime.
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You will know because a prime number can only be divided by itself and one (1), if it can be divided by anything else then you will know that it is not a prime number.
Any prime number is relatively prime to any other prime number.
Prime numbers are not divisible by any integer other than themselves and one. So if you can't produce an integer (whole number) by dividing the number by any integer, it's prime. For example, 13 is a prime number. You can't produce 13 by multiplying any integers together except 13 and 1.
It doesn't have any factors beside 1 and 29 so it is a prime number
Any number that cannot be evenly divided by any prime number smaller than itself is a prime number.