If 6y is a factor of (10!)2 , what is the greatest possible value of y?
Answers
Answered by
2
Hello Mortals
The answer is 8.
Factors of 6 = 2*3
10! = 10*9*8*7*6*5*4*3*2*1
= 2*5*3*3*2*2*2*7*2*3*5*2*2*3*2*1
= 2^8 * 3^4 * 5^2 * 7
Only two exponents of 2 and 3 are eligible here. Either 2^8 or 3^4.
We have to find greatest possible value of y.
So it'll be 8 ( higer number counts).
The answer is 8.
Factors of 6 = 2*3
10! = 10*9*8*7*6*5*4*3*2*1
= 2*5*3*3*2*2*2*7*2*3*5*2*2*3*2*1
= 2^8 * 3^4 * 5^2 * 7
Only two exponents of 2 and 3 are eligible here. Either 2^8 or 3^4.
We have to find greatest possible value of y.
So it'll be 8 ( higer number counts).
AvikRaaj:
oesnt means it is wrong
Chill.. and have a day
question is quite correct in its own terms
anyway.. hope you understand.. have fun :)
means you still did not understand why I convey so I feel its futile to carry forward thid argument
You'll not see this type of question. Believe me!! Or let time to come, you'll see yourself
*what
chill.. Time will tell
lol.. its brainly.. it isnt a IITJEE preparation centre or something.. tha you say you wont see this type of question. anyway.. lets end it here.. there are two answers for the people to choose accordingly
Finally.. a sensible response after a long bout of heated arguments
Answered by
0
The greatest possible value of a factor is the number itself. That is.. for (10!)2... The greatest factor is (10!)2..
=> 6y=10!*2
=> y=10!*2/6=10!/3
This is correct
you don't know then
well, keep that to yourself....
6y is factor. understand this. You took as bulk.
so, you should also know that a number is a factor of itself
Here you're mistaken with question. Question is 6^y and (10!)^2. power is there.
Similar questions