CAT
Exam
If n is positive integer such that 2n has 28 positive divisors and 3n has 30 positive divisors, then how many positive divisors does 6n have?
Read Solution (Total 3)
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- n = (2^5)(3^3)
2n= (2^6)(3^3)
3n = (2^5)(3^4)
6n = (2^6)(3^4)
so divisors = 7*5=35 - 12 years agoHelpfull: Yes(1) No(0)
- 6n will have 35 positive divisors.
- 12 years agoHelpfull: Yes(0) No(0)
- 6n willn = (2^5)(3^3)
2n= (2^6)(3^3)
3n = (2^5)(3^4)
6n = (2^6)(3^4)
so divisors = 7*5=35 have 35 positive divisors. - 12 years agoHelpfull: Yes(0) No(0)
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