Question 2
The number 21 can be expressed as a sum of two or more consecutive positive integers in 3 different ways, namely
$$10+11,\qquad6+7+8,\qquad1+2+3+4+5+6.$$
How many different ways can (a) 100 (3 points); (b) 210 (5 points) be expressed as such a sum?
$$10+11,\qquad6+7+8,\qquad1+2+3+4+5+6.$$
How many different ways can (a) 100 (3 points); (b) 210 (5 points) be expressed as such a sum?