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15 Aug 2007, 19:58
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If n is a postive integer less than 200 and 14n/60 is an integer then N has how many different postive prime factors
Choices
2, 3, 5, 6, 8
The answer is b..
But here is my confusion,
Simplifying the equation further, 7n/30 is an integer. which means , 2, 3,5 are defintely factors of N based on denominator 30.. But based on Numerator 7N ..means, 7 should also be a factor?
Where am I mis understanding?
Choices
2, 3, 5, 6, 8
The answer is b..
But here is my confusion,
Simplifying the equation further, 7n/30 is an integer. which means , 2, 3,5 are defintely factors of N based on denominator 30.. But based on Numerator 7N ..means, 7 should also be a factor?
Where am I mis understanding?
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15 Aug 2007, 20:06
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14n/60
14=2*7
60=2*2*3*5
14n must be a multiple of 60, so n must at least be 2*3*5, which is 3 prime numbers.
if you simplify to 7n/30, same thing. n must have all factors of 30. 30 is broken down to 2*3*5. 7 has nothing to do with this, so n must contain 2, 3 and5.
14=2*7
60=2*2*3*5
14n must be a multiple of 60, so n must at least be 2*3*5, which is 3 prime numbers.
if you simplify to 7n/30, same thing. n must have all factors of 30. 30 is broken down to 2*3*5. 7 has nothing to do with this, so n must contain 2, 3 and5.
