What is the sum of the four positive factors of the positive integer value of $\sqrt{196}$?
The positive integer value of $\sqrt{196}$ is 14, since 14 times 14 is 196. To find the positive factors of 14, I need to think of pairs of numbers that multiply to give 14. One pair is 1 and 14, since 1 times 14 is 14. Another pair is 2 and 7, since 2 times 7 is 14. There are no other pairs, since 3, 4, 5, and 6 are not factors of 14. So the four positive factors of 14 are 1, 2, 7, and 14. To find their sum, I just need to add them up: 1 plus 2 plus 7 plus 14. That gives me 24 as the final answer. 