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Explanation for the answer to how many three digit prime numbers can be formed using only odd prime digits and digits may be used more than once?
Wiki User
∙ 14y ago
The odd prime digits are 3, 5, and 7. but the final digit of your three-digit Prime number can't be 5. So there are only 18 combinations to check. You can list these numbers and start going through them to see which are prime. The easiest test is divisibility by 3 (sum the digits) and that quickly eliminates 7 of them. You are left with:
337
353
373
533
553x
557
577
733
737x
757
773
Of these, only two are not prime. I marked them with an "x". I used a table of primes to find these and don't know an easier way.
Wiki User
∙ 14y ago
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27 three digit numbers from the digits 3, 5, 7 including repetitions.
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500
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180 of them.
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There are 5*4*3 = 60 such numbers.
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1 set
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It is 120 if the digits cannot be repeated.
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There are 5! = 120 such numbers.
