Problem of the Month - September 2026

Sums of the Unexpected

The number 15 can be written as the sum of consecutive whole numbers in three ways.  

15 = 7 + 8 

15= 4 + 5 + 6

15= 1 + 2 + 3 + 4 +5

In how many ways can you write 105 as the sum of consecutive whole numbers?  

In how many ways can you write 24 as the sum of consecutive whole numbers?

(A consecutive whole number is a number that comes directly after another whole number in a sequence, e.g. 5,6,7,8,9…)

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