MBA
Exam
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
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- 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! - 11 years agoHelpfull: Yes(1) No(0)
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