Question

Fill in the blank in the sentence below so that the resulting statement is true.

Among the numbers 1, 2, 3, 4, 5,..., a number greater than 1 that has only itself and 1 as factors is called a/an
number.
...

Answer 1

The word that should fill the blank is 'prime.' Prime numbers are numbers greater than 1 that have no divisors other than 1 and themselves.

Step-by-step explanation:

The blank in the sentence should be filled with the word 'prime' to make the statement true. Among the numbers 1, 2, 3, 4, 5, ..., a number greater than 1 that has only itself and 1 as factors is called a prime number. Prime numbers are fundamental in mathematics, especially in number theory, and they have various properties that are important in various mathematical proofs and theorems.

For example, the numbers 2, 3, 5, and 7 are prime because they only have two distinct positive divisors: 1 and the number itself. However, the number 4 is not a prime number because it has three divisors: 1, 2, and 4.