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Math Help - prime factors

  1. #1
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    prime factors

    Please let us know what two digit numbers when multiplied together results in an answer of 6,789.

    We have tried multiplying numerous numbers, but come up short all the time.

    May you please help us in this matter.

    -* Barrett.
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  2. #2
    MHF Contributor red_dog's Avatar
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    6789=3\cdot 31\cdot 73=93\cdot 73
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  3. #3
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    Get the prime factorization of 6789.

    6789/3 = 2263
    2263/31 = 73

    So the two-digit numbers are 3*31 and 73.
    Or (93)(73) = 6789
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  4. #4
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    Hello, GoldenSimmer!

    What two-digit numbers have a product of 6,789?

    We have tried multiplying numerous numbers. . . . . quite possibly the WORST method!
    Try factoring the number.


    We see that it is divisible by 3: . 6789 \div 3 \:=\:2263

    Then we try dividing by consecutive primes (3, 5, 7, 11, 13, ...)
    . . to determine other factors.

    It takes a while, but we find that: . 2263 \:=\:31 \times 73

    . . Hence: . 6789 \:=\:3 \times 31 \times 73


    Therefore: . 6789 \;=\;73 \times 93

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  5. #5
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    Thank you for your help. You are all wonderful!
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