Wat is de grootst gemene deler
van 10 ! en honderdduizend ?
A. 10
B. 25
C. 80
D. 125
E. 800
F. 100 000
10 ! = 1.2.3.4.5.6.7.8.9.10
[ -(E)- ]
Translation in E N G L I S H
What is the greatest
common divisor of 10 !
and one hundred thousand ?
A. 10
B. 25
C. 80
D. 125
E. 800
F. 100 000
Oplossing - Solution
100 000 = 10
5
= (2.5)
5
= 2
5
.5
5
10! = 2.3.4.5.6.7.8.9.10 bevat 8 factoren 2 en twee factoren 5.
De g.g.d. is dus 2
5
.5
2
= 2
3
.2
2
.5
2
= 8.10
2
= 800
