Sir answer is 3 there in only two case of two and 3 But I take time because I does not understand question I think find highest divisor not number of divisors Grade 9
Homework Problem Grade 10 GCD (m,n) can have 5 divisors iff it is of the form a^4, where a is a prime number. LCM (m,n) will then be of the form a^4.b.c^2 or a^4.b^5 to get 30 divisors [a^4 will definitely be there in the prime factorisation of LCM (m,n) because GCD (a,b) | LCM (a,b) for all values of a and b] For maximizing the value of n, set m = a^4, and n = a^4.b.c^2 or a^4.b^5. Clearly, n has 3 prime divisors in the first case and 2 prime divisors in the second case. So, the maximum number of prime divisors by n will be 3. P.S. I also got 30 as an answer haha. Didn't notice that it asked number of prime divisors and not all divisors.
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Ans 3 (GRADE 10) two cases in one case its 1prime and the other its 3 primes so max^m will be 3
Sir answer is 3 there in only two case of two and 3
But I take time because I does not understand question I think find highest divisor not number of divisors
Grade 9
Ans. 3 Grade 8
I was also getting ans 30 but after reading commens. I did it again.
Ans 3 (p⁴q²r¹) . Grade 9
ans : 30 , grade 9
Ans 3 grade 10
Ans = 5 grade 9
Homework Problem
Grade 10
GCD (m,n) can have 5 divisors iff it is of the form a^4, where a is a prime number.
LCM (m,n) will then be of the form a^4.b.c^2 or a^4.b^5 to get 30 divisors [a^4 will definitely be there in the prime factorisation of LCM (m,n) because GCD (a,b) | LCM (a,b) for all values of a and b]
For maximizing the value of n, set m = a^4, and n = a^4.b.c^2 or a^4.b^5. Clearly, n has 3 prime divisors in the first case and 2 prime divisors in the second case. So, the maximum number of prime divisors by n will be 3.
P.S. I also got 30 as an answer haha. Didn't notice that it asked number of prime divisors and not all divisors.
Same problem
Ans = 3. Grade 8
Ans 3(Grade 7)
Ans 12 grade 8
ans:30 grade10
Wrong answer
Please check again
yes sir understood i made a mistake
Sir i am from Bangladesh
ans 30 grade 11th
Wrong answer
Please check again
Is 3 the correct answer?
Grade 9th
Ans 3 grade 11
ans 30 grade 9
Wrong answer
Please check again