Warm-Up 6, Due Thursday, February 18, noon.

Please answer each question in three or more sentences. It is OK to answer 'I don't know' - but try and state why you are confused! No late Warm Ups are accepted for any reason, and only those submitted electronically through this web page (or by email, if the web page has technical problems) are considered.

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Question 1

Write the number 396 as a product of primes.

Question 2

Can we easily factor large (say 50 digit) numbers? If yes, how, if no, why not? In which everyday technology is this used?

Question 3

What can be said about the number 7 · 13 · 23 · 41 + 1? If we perform long division by any of the numbers 7 or 13 or 23 or 41, what remainder would we get in each case? If you can't say, then do it.