Order KöMaL! Competitions Portal

K. 134. A certain positive integer is divisible by 2, 5 and 9. Given that it has exactly 9 other positive factors, find the number.

(6 points)

This problem is for grade 9 students only.

Google Translation (Sorry, the solution is published in Hungarian only.)

Megoldás: Ha egy számnak osztója a 2, az 5 és a 9, akkor osztói az 1, 3, 6, 10, 15, 18, 30, 45, 90 számok is. Mivel ez 9 további osztó, ezért a keresett szám a 2, 5 és 9 legkisebb közös többszöröse, azaz a 90.

Statistics on problem K. 134.
 269 students sent a solution. 6 points: 161 students. 5 points: 44 students. 4 points: 25 students. 3 points: 11 students. 2 points: 10 students. 1 point: 4 students. 0 point: 6 students. Unfair, not evaluated: 3 solutions. Unfair, not evaluated: 5 solutions.

• Problems in Mathematics of KöMaL, October 2007

•  Our web pages are supported by: ELTE