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.
well, the factors of 6 are: 3,2,1, and 6 and the prime factors are 3 and 2 and 6 is not a prime number, it is composite
6
Since 7 is a prime, 7*1 = 7, so that the only possibility for a number to have 7 factors is to have only one prime factor to the power of 6, because 7 = 1 + 6. 64 = 26 = 7 factors (6 + 1) (2 is the smallest prime number) Since 36 > 100, then 64 is the only number between 0 and 100 that have 7 factors.
A prime number is a number with exactly two distinct factors: itself and oneThe only factors of 3 are 1 and 3 so it is a prime number.The factors of 6 are 1,2,3 and 6 which has more than two factors so it is not a prime number.
30,030 Factorization: 2x3x5x7x11x13
The number 6. Its prime factors are 1,2 & 3 * * * * * Most mathematicians would argue that the correct answer is 2*3*5 = 30 on the grounds that 1 is NOT a prime.
6
well, the factors of 6 are: 3,2,1, and 6 and the prime factors are 3 and 2 and 6 is not a prime number, it is composite
6
To find the smallest value of k when 882k is a cube, we need to factor out the cube from 882k. The prime factorization of 882 is 2 x 3^2 x 7^2. For 882k to be a cube, we need to find the smallest value of k such that the exponent of each prime factor in the prime factorization of 882k is a multiple of 3. Therefore, the smallest value of k would be 2^2 x 3 x 7 = 84.
100003
6 is.
6
6 is.
7
Since 7 is a prime, 7*1 = 7, so that the only possibility for a number to have 7 factors is to have only one prime factor to the power of 6, because 7 = 1 + 6. 64 = 26 = 7 factors (6 + 1) (2 is the smallest prime number) Since 36 > 100, then 64 is the only number between 0 and 100 that have 7 factors.