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6-100.

Recall that a factor of a number divides the original number and leaves no remainder. For example, and are factors of .  

  1. Find all factors of .

    Remember that factors go together.
    For example, if goes into exactly twice, then must go into exactly times.
    This might help you go faster.

  2. Find the smallest number that has , , , , and as factors. What is the special name for this number?

    Because is a factor, we know that it has to be a multiple of .
    Because is also a factor, we know that the number has to be a multiple of .
    Because is also a factor, we know that the number has to be a multiple of .
    What is the first multiple of that is divisible by ?

  3. Find the second smallest number that has , , , , and as factors.

    After reading the hint to part (b), answer the following question: What is the second multiple of that is divisible by ?