Consecutive numbers

Many numbers can be made by adding consecutive numbers.
For example, 18 = 5 + 6 + 7 .

fruit piced at 24p, 25p, 26p

Some of these numbers, such as 7 (= 3 + 4), and 24 (= 7 + 8 + 9) can be made in only one way.

Other numbers can be made up in more than one way. For example, 9 = 4 + 5 and 9 = 2 + 3 + 4.

In how many different ways can 945 be made be made by adding consecutive numbers?

Can you find a number that can be made from consecutive numbers in more ways than that?


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