1. What is the prime factorization of 18?


  2. Find the number of factors of 30.

  3. What is the prime factorization of 100?

  1. A baker divides 60 cookies into boxes with an equal number of cookies and no leftovers. In how many ways can she do this?


  1. The number 40 has how many odd factors? (Hint: think about how many 2s are possible)


  1. What is the sum of the exponents in the prime factorization of 72?


  1. A field trip has 84 students. They can be grouped evenly into teams. How many possible group sizes are there (not including 1 and 84)?


  1. A student finds that a number has a prime factorization of 24 x 3. How many of its factors are divisible by 6?


  1. A number has 9 total factors. What could its prime factorization look like?


  1. A number has 24 total positive factors. Its prime factorization is 22 x 3 x 5y. What is the value of x? (Hint: set up an equation)