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?
Do you know a quick way to check if a number is a multiple of two?
How about three, four or six?
Various sets of numbers add together to give a sum of $10$:
The products of these sets are all different:
What is the greatest product that can be made from numbers that add up to $10$?
Try using different starting numbers.
Can you find a strategy for splitting numbers so that you always get the largest product?
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