If m and n are positive integers such that m is a factor of n, how many positive multiples of m are less than or equal to 2n?
(2m/n)+1
(2n/m)+1
2n/(m+1)
2m/n
2n/m
I found this explaination on forum :
We are told in the question
...m is a factor of n...
So lets choose m to be 2 and n to be 6 because 2 is a factor of 6 (you can pick other numbers if you wish).
Replacing these numbers into the question we get, "how many positive multiples of 2 are less than or equal to 12?"
You can write all the multiples out, "2, 4, 6, 8, 10, 12", and then it is clear to see that there are 6 positive multiples of 2 that are less than or equal to 12.
0 is not included in the list because we are asked for positive multiples and 0 is not positive. 12 is included in the list because the question asks for multiples which are less than or equal to 12.
Check against answers
Now we can work through the answers substituting the values of m (2) and n (6) into them and we can eliminate any answer which does not evaluate to 6.
2n/m = 2x6/2 = 6, and others don't tally to 6. So answer is E.
Why is 1 not considered a factor of n?
How to solve this problem?
(2m/n)+1
(2n/m)+1
2n/(m+1)
2m/n
2n/m
I found this explaination on forum :
We are told in the question
...m is a factor of n...
So lets choose m to be 2 and n to be 6 because 2 is a factor of 6 (you can pick other numbers if you wish).
Replacing these numbers into the question we get, "how many positive multiples of 2 are less than or equal to 12?"
You can write all the multiples out, "2, 4, 6, 8, 10, 12", and then it is clear to see that there are 6 positive multiples of 2 that are less than or equal to 12.
0 is not included in the list because we are asked for positive multiples and 0 is not positive. 12 is included in the list because the question asks for multiples which are less than or equal to 12.
Check against answers
Now we can work through the answers substituting the values of m (2) and n (6) into them and we can eliminate any answer which does not evaluate to 6.
2n/m = 2x6/2 = 6, and others don't tally to 6. So answer is E.
Why is 1 not considered a factor of n?
How to solve this problem?
