Posted by **HELP ME...uRGENT!** on Thursday, April 18, 2013 at 4:08am.

The product of 2 positive integers is 1000. What is the smallest possible sum of these 2 integers?

- ALGEBRA. -
**Reiny**, Thursday, April 18, 2013 at 8:20am
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

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