posted by leon patten on .
Elaine factors the numbers 36 and 48. Then she makes this conjecture.
“Any multiple of 6 is also a multiple of 12.”
Describe what Elaine should do to test her conjecture. Will she find that her conjecture is true or false? Explain your reasoning.
pick a few multiples of 6 and try them.
If they all work, then that's a good sign. Maybe she can develop a formula to test in general.
If some multiple fails, then she's done. Conjecture is false.
Guess how many multiples she will have to test.