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RonrickDaano

  • 3 years ago

How many 3 digit positive integers N are there, such that N is a multiple of both 7 and 13?

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  1. Mertsj
    • 3 years ago
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    If the number is a multiple of both 7 and 13, it must be a multiple of 91. So find the multiples of 91 between 100 and 1000.

  2. Mertsj
    • 3 years ago
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    100<91n<1000 1<n<11

  3. matricked
    • 3 years ago
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    as both 7 1nd 13 are primes the required number is [1000/91] -1 (as 91 itself is less than 100) =10 -1 =9

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