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Is 32 an almost perfect number?
Yes. The only known almost perfect numbers are the powers of 2. 32 = 2^5 is an almost perfect number. It has not yet been proved whether {x: x = 2^n for n in N} = {x: x is an almost perfect number}.
Ralph likes 25 but not 24 he likes 400 but not 300 he likes 144 but not 145?
Ralph likes numbers that are perfect squares but not numbers that are one less than a perfect square. Perfect squares are numbers that can be expressed as the product of an integer multiplied by itself (e.g. 25 = 5 x 5, 400 = 20 x 20, 144 = 12 x 12). Numbers that are one less than a perfect square do not fit this pattern (e.g. 24, 300, 145). Ralph's preference seems to be for the neat, symmetric nature of perfect squares.
What prime numbers add up to 20?
The prime numbers of 20 are 2, 2 and 5. (2*2*5 = 20)
How do you make 20 with 4 numbers?
5+5+5+5
What two positive numbers have a product of 20 and a sum of 9?
The two numbers are 5 and 4. 5 x 4 = 20 5 + 4 = 9
