Numeric Response


1.

What is the greatest common factor of 42, 12, 18, and 132?


2.

What is the least positive common multiple of 42, 12, 18, and 132?


3.

Let N = 100 × 36 × 63. How many factors does N have?


4.

What is the smallest positive integer which is divisible by 45 and whose decimal
representation uses only the digits 0, 1, and 2?


5.

How many positive multiples of 3 or 5 or 134 are there that are less than
2015?


6.

What is the largest prime that divides both 143 and 195?


7.

How many factors does 36 have?


8.

What is the sum of all of the prime factors of 2015?


9.

How many different prime numbers are factors of 4680?


10.

Find N :


11.

Find the largest prime factor of 12! + 14!.
