What is the smallest number with exactly 14 divisors? Many
numbers can be expressed as the sum of two or more consecutive
integers. For example, 15=7+8 and 10=1+2+3+4. Can you say which
numbers can be expressed in this way? If it takes four men one
day to build a wall, how long does it take 60,000 men to build a
similar wall? Some 4 digit numbers can be written as the product
of a 3 digit number and a 2 digit number using the digits 1 to 9
each once and only once. Well done Sally Nelson and Sarah Dunn,
S2, Madras College, St Andrew's for finding altogether six funny
factorisations, but there is one more. It is now a Tough Nut to
find the last one. You might like to write a computer program to
find all seven funny factorisations or you might come up with a
different method. Let us know. The number 4396 = 2 x 2 x 7 x 157
and there are not many possible combinations. By trial and error
we get 4396 = 28 x 157. The number 5796 = 2 x 2 x 3 x 3 x 7 x
23. So 5796 = (2 x 3 x 7) x ( 2 x 3 x 23) or (2 x 2 x 3) x (3 x
7