The best way to figure out if it’s a composite number is to perform the divisibility test. A prime number has only two factors: 1 and itself. Factors are the numbers that divide into it. 3/1 = 3. Every composite number can be written as the product of two or more (not necessarily distinct) primes. But in order to be prime, you have to have exactly two factors. 5 × 2 × 2 × 23. Composite numbers are whole numbers that can be divided by numbers other than itself and 1. A composite number has more than two factors. Other than number 1 every other positive number that is not a prime is a composite number. If the number is even, then start with the number 2. So, given number is the composite number because it is the product of more than one prime numbers. 1 has only one factor. When a number can be divided up exactly it is a Composite Number; When a number cannot be divided up exactly it is a Prime Number; So 6 is Composite, but 7 is Prime. For example, 2 and 5 are factors of 10. Composite number: A whole number that can be divided exactly by numbers other than 1 or itself. To do this, you should check to see if the number can be divided by these common factors: 2, 3, 5, 7, 11, and 13. The number 1 is neither prime nor composite. So it is not prime, technically, because it only has 1 as a factor. For example, the composite number 299 can be written as 13 × 23, and the composite number 360 can be written as 2 3 × 3 2 × 5; furthermore, this representation is unique up to the order of the factors. Every other even number other than 2 is composite. Hence it is prime number. The number 11 is also a prime number because it only has two factors: 1 and 11 Example 3 Identify prime and composite numbers from the following list: 73, 65, 172, and 111 Solution Number 73 is a prime number. Yes because 7x6x5x4x3x2x1+5 = 5(7x6x4x3x2x1+1) = 5(1008+1) = 5(1009) Since it has more than 1 factor that is 5 and 1009 So it is a composite number 3 is a prime number because 3 can be divided by only two number’s i.e. Every whole number higher than 1 is either a composite number or a prime number. 1 and 3 itself. Example 2: 5 cannot be divided evenly (except by 1 and 5), so is not a composite number (it is a so called prime number). The number 8 is composite. 1 is itself. A composite number n is a positive integer n>1 which is not prime (i.e., it can be divided by whole number other than 1 and itself). The last digit is not 0 or 5, and it is not a multiple of 7. In problem 2 above, the number 8 has four factors. 5 x 7 x 13 + 5. Solution : To find the primality of 5 and 6, first we need to find the factors of the numbers 5 = 1x5 6 = 1x6, 2x3 , 3x2 5 has only 1 and 5 as its factors. Find whether the numbers 5 and 6 are Prime or Composite Number? 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