Name : Shiling Who is asking the question : Student I've got this perplexing problem up my hands and I hope that you can solve it. Here is it : A number can be divided by 16 if its 1st four digits can be divided by 16. How can you prove that? Grateful for help, Shiling Hi Shiling,There is a similar result concerning divisibility by 4 that should help with your problem concerning divisibility by 16. The result is: A number can be divided by 4 if and only if its last two digits can be divided by 4. By the "last two digits" I mean the tens and units digits. Suppose k is an integer with tens digit q and units digit r, then the number can be written k = 100p + 10q + r where p is some integer. But 4 divides 100 and hence 4 divides k if and only is 4 divided 10q + r. Cheers, Penny Go to Math Central
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