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Rancd

  • one year ago

How many positive integers less than or equal to 500 have exactly 3 positive divisors?

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  1. alexandercpark
    • one year ago
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    all numbers automatically have 2 divisors, 1 and themselves the ONLY way it can have EXACTALLY one more divisor is if 1) that divisor is prime 2) that divisor is the square root of the number basically, you are looking at all the prime numbers from [1, sqrt(500)), then square them

  2. RaphaelFilgueiras
    • one year ago
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    sqrt(500)= 22.36

  3. RaphaelFilgueiras
    • one year ago
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    2,3,5,7,11,17,19

  4. RaphaelFilgueiras
    • one year ago
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    squared

  5. RaphaelFilgueiras
    • one year ago
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    4,9,25,121,289,361

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