Answer to Question #250613 in Combinatorics | Number Theory for Alina

Question

Find out if the following numbers are prime numbers, show your work:

(a) 773

(b) 733

(c) 377

Answer 1

Kindly note that prime numbers are those numbers which have only two factors: one is 1 and other is the number itself. Other things are as follows: prime numbers are at least divisible by other less prime numbers.

1)377: Since 377 is divisible by 13 and we get 29 so we have three factors. Thus, the factors of 377 are 1, 29 and 377. We conclude the number 377 is not prime.

2) 773: Since 773 is not divisible evenly by 2, 3, 5, 7, 11, 13, 17, 19, or 23, we know that 773 is a prime number. It has only two factors, namely, 1 and 773.

3)733: Since 733 is not divisible evenly by 2, 3, 5, 7, 11, 13, 17, 19, or 23, we know that 733 is a prime number. It has only two factors, namely, 1, 733.