An integer which has two, and only two, factors is a prime number.
• 0 has no factors, and is not a prime number
• 1 has only 1 factor (1), and is not a prime number
• 2 has two factors (1 and 2) and is a prime number. It is the only even prime number
• 3 is a prime number, as it has factors of 1 and 3
• 4 is not a prime number, as it has three factors: 1, 2 and 4.
The other prime numbers below 20 are: 5, 7, 11, 13, 17 and 19.
To work out whether a number is prime, divide by each of the prime numbers starting with 2. If it is not divisible by any of these numbers, it is a prime number.
What is the next prime number after 20?
21 can be divided by 3 (3 x 7 = 21);
22 can be divided by 2 (2 x 11 = 22),
but 23 can only be divided by 1 and 23.
Answer: 23
Is 49 a prime number?
It is divisible by 1, 7 and 49. As it has three factors, it is not a prime number.
Answer: No