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What is the smallest positive integer that has exactly 6 factors?
The smallest positive integer that has exactly 6 factors is 12. To determine the number of factors an integer has, we can use its prime factorization. In the case of 12, its prime factorization is 2^2 * 3, which means it has (2+1)(1+1) = 6 factors.
What is the smallest positive multiple of 13 for which the sum of its digits is prime?
Start with the smallest multiple of 13 and continue with the next smallest until finding one that fits the specifications. 13, sum of digits is 1 + 3 = 4 which is not prime 26, sum of digits is 2 + 6 = 8 which is not prime 39, sum of digits is 3 + 9 = 12 which is not prime 52, sum of digits is 5 + 2 = 7 which is prime So, 52 is the smallest positive multiple of 13 for which the sum of its digits is prime.
If d is the number of distinct prime factors of 12 and f is the number of positive factors of 12 what is the sum of d and f?
6
What is the smallest counting number n that would make 12n a perfect square?
Smallest positive integer number is 3 12(3) = 36 36 is equals to 62. Next one would be n = 12 12(12) = 144 144 is 122
What is the smallest prime factor of 12?
2
