The power of 45 that will exactly divide 123! is? kindly post solution as well

1) 28
2) 30
3) 31
4) 59
5) 29

• 28
  45= 5*9=5*3^2
  123! has 123/5 +123/25 = 24+4=28 multiples of 5.
  also 123 has 123/3 +123/9 +127/27+127/81= 41+13+4+1=59 multiple of 3 or 29 multiples of 9.
  so 45^28 will exactly divide 123!
• 12 years agoHelpfull: Yes(1) No(0)