CAT
Exam
the no of divisiors of the number 8000
Read Solution (Total 3)
-
- 80000=(2^3)*(10^4)=(2^3)*((2*5)^4)
=(2^7)*(5^4)
hence no. of divisors of 80000=(7+1)*(4+1)=40. - 12 years agoHelpfull: Yes(2) No(0)
- divisors are:
1 and 8000
2 and 4000
4 and 2000
5 and 1600
8 and 1000
10 and 800
16 and 500
20 and 400
25 and 320
32 and 250
40 and 200
50 and 160
64 and 125
80 and 100
so in total there are 28 divisors of the number 8000
- 12 years agoHelpfull: Yes(1) No(0)
- take LCM of the given number
2*2*2*2*2*2*2*5*5*5
= 2^6*5^3
so take only power add 1 and then multiply
here,(6+1)*(3+1)
=28 - 11 years agoHelpfull: Yes(0) No(0)
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