Question
The product of 2 positive integers is 1000. What is the smallest possible sum of these 2 integers?
Answers
Reiny
possibilies
1x1000
2x500
4x250
5x200
8x125
10 x 100
20x50
25x40
40x25 --- repeating from here on
so the smallest possible sum of those factors
= 25 + 40 = 65
OR
by the "Just Think About It" theorem, the two number would have to be as close as possible to each other, that is, near the √1000
which is appr 31.6
the closest number to 31.6 which divides evenly into 1000 is 25, so the other must be 40
1x1000
2x500
4x250
5x200
8x125
10 x 100
20x50
25x40
40x25 --- repeating from here on
so the smallest possible sum of those factors
= 25 + 40 = 65
OR
by the "Just Think About It" theorem, the two number would have to be as close as possible to each other, that is, near the √1000
which is appr 31.6
the closest number to 31.6 which divides evenly into 1000 is 25, so the other must be 40