There are 13 flavbors at a local ice cream parlor. Is the number 13 a prime number or a composite number? If it is composite, write the number as the product of prime numbers
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13 is prime because it cannot be divided by numbers other than itself and 1.
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To determine if a number is prime or composite, we need to check if it has any factors other than 1 and itself. In this case, the number is 13.
To check if 13 is prime, we need to find any numbers that divide it exactly. We'll start by checking divisibility by numbers less than 13.
We can check if 13 is divisible by 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, or 12.
Dividing 13 by 2, we get a quotient of 6 with a remainder of 1.
Dividing 13 by 3, we get a quotient of 4 with a remainder of 1.
Dividing 13 by 4, we get a quotient of 3 with a remainder of 1.
Dividing 13 by 5, we get a quotient of 2 with a remainder of 3.
Dividing 13 by 6, we get a quotient of 2 with a remainder of 1.
Dividing 13 by 7, we get a quotient of 1 with a remainder of 6.
Dividing 13 by 8, we get a quotient of 1 with a remainder of 5.
Dividing 13 by 9, we get a quotient of 1 with a remainder of 4.
Dividing 13 by 10, we get a quotient of 1 with a remainder of 3.
Dividing 13 by 11, we get a quotient of 1 with a remainder of 2.
Dividing 13 by 12, we get a quotient of 1 with a remainder of 1.
Since none of the numbers less than 13 divided 13 without a remainder, we can conclude that 13 is a prime number. It does not have any factors other than 1 and itself.
Therefore, 13 is a prime number and cannot be written as a product of prime numbers, as it is already prime.