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14 Divisors

What is the smallest number with exactly 14 divisors?

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Largest Product

Stage: 3 Challenge Level: Challenge Level:1

Various sets of numbers add together to give a sum of $10$:

  • $3 + 7 = 10$
  • $2 + 8 = 10$
  • $2.1 + 5.6 + 2.3 = 10$

The products of these sets are all different:

  • $3 \times7 = 21$
  • $2 \times 8 = 16$
  • $2.1 \times 5.6 \times2.3 = 27.048$

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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