Hi, I am trying to understand how to answer the following problem solving question: "For every positive even integer n, function h(n) is defined to be the product of all even integers from 2 to n. If p is the smallest prime factor of h(100) + 1, then what is the value of p?" Answer options...

To find the shortest distance from the vertex of the cube to the sphere, why would we subtract only 1/2 of the diagonal from the radius of the sphere. I don't understand why we wouldn't subtract the entire diagonal length from the diameter of the sphere? Is it because by doing the above you are actu...