shahab1987 wrote:
Hi, i think that 25 could not be a factor of 20! because it is 5*5 but we have just one 5, am i right?
No.. we have four 5 in 20! as 20! = 1*2*3*4*5*6..*10*11*...15*16..*20, so one five comes from each of 5, 10, 15 and 20. so
54Which of the following is NOT a factor of 20! ?
A. 17.......
20!=1∗2∗.....17∗...20.. YES
B. 21=3*7.......
20!=1∗2∗3.....7∗...20.. YES
C. 25=5*5.......
20!=1∗2∗...∗5∗..10∗.....∗15∗....20.. YES
D. 29.... since 29 is a PRIME number and 20! contains number only till 20, 29 will NOT be there in 20!
E. 42=2*3*7.......
20!=1∗2∗3∗.....7∗...20.. YES
F. 51=3*17.......
20!=1∗2∗3.....17∗...20.. YES
G. 85=5*17.......
20!=1∗2∗3∗4∗5∗.....17∗...20.. YES
H. 121=11*11...........
20!=1∗2∗.....11∗...20.. NO, as we have only one 11.
so D and H