An excerpt from math class today . . .

Me: “Why is four a factor of twenty?”
Student: “Because it goes into twenty.”
Me: “Can’t everything ‘go into’ twenty?”
Student: “Okay, because four times five is twenty.”
Me: “Forty times one-half is twenty.  Is forty a factor of twenty?”
Student: “No.  But I know that four is a factor of twenty.”
Me: “Why?”
Student: ” . . . I don’t know.”
Me: “That’s a beautiful answer.  Now you’re ready to learn.”