11. A number is called a 'deficient number' if the sum of all its factors, not including the number itself, is
less than the number. For example: The factors of 8, other than itself, are 1,2 and 4 and 1 +2 +4 = 7
and 7 is less than 8. So 8 is a deficient number. Can a prime number be a deficient number?
a. No, the sum of its factors, other than itself, will always be equal to itself.
b. Yes, all prime numbers are deficient.
c. No, the sum of its factors, other than itself will always be 1 more than itself.
d. We cannot say for sure unless we know the prime number.
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