Q&A for How to Determine the Number of Divisors of an Integer

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  • Question
    Is 8 the number of divisors excluding the numbers 24 and 1? Would 10 be a more apt answer?
    Community Answer
    No. The 8 divisors include the factors 24 and 1. To see this, you can list out all the ways to multiply two numbers to get to 24, and count all the unique factors. 1 x 24 2 x 12 3 x 8 4 x 6 So, as shown above, there are 8 different divisors of 24, including 1 and 24.
  • Question
    How do you find the odd divisors of an integer?
    Community Answer
    One way to do this would be to make a factor tree, and then look for all of the odd divisors.
  • Question
    What is the sum of the divisors of 600?
    Donagan
    Top Answerer
    The sum of the divisors is 19. The number of divisors is 6.
  • Question
    How can I find more examples so it's easier for me to figure out how to do my homework?
    Community Answer
    If you navigate to the sources cited in the article, you can find more examples.
  • Question
    What is the smallest positive integer with 6 divisors?
    Donagan
    Top Answerer
    If you mean six different divisors (and assuming all divisors must be positive integers), the smallest possible integer would be 1 x 2 x 3 x 4 x 5 x 6 = 720.
  • Question
    Is there an equation to find the number of divisors for an integer number?
    Donagan
    Top Answerer
    Yes. It's given and explained in Step 2 above.
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