Question

The greatest prime number which exactly divise 826 is

Answer 1

Answer:

It is possible to find out using mathematical methods whether a given integer is a prime number or not.

For 826, the answer is: No, 826 is not a prime number.

The list of all positive divisors (i.e., the list of all integers that divide 826) is as follows: 1, 2, 7, 14, 59, 118, 413, 826.

To be 826 a prime number, it would have been required that 826 has only two divisors, i.e., itself and 1.

As a consequence:

826 is a multiple of 1

826 is a multiple of 2

826 is a multiple of 7

826 is a multiple of 14

826 is a multiple of 59

826 is a multiple of 118

826 is a multiple of 413

To be 826 a prime number, it would have been required that 826 has only two divisors, i.e., itself and 1.