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math

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Find the smallest positive whole number with exactly ten positive factors and list the factors.

  • math - ,

    1*1*1*1*1*1*1*1*1*1 = 1

    You didn't say the factors had to be different.

  • math - ,

    yeah, but it is not "exactly" 10 factors either! LOL

    To get exactly 10 factors, the first factors must be 1,2,3,4,5 (N>25, square of the fifth factor), or 1,2,3,4,6 (N>36).

    However, the latter set gives a smaller number, namely 48, while the first set gives 60.

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