4
35 only has four divisors in total: 1, 5, 7,35.
54...
The number 12 has a total of six divisors: 1, 2, 3, 4, 6, 12.
The divisors of 42 are the numbers that can divide it without leaving a remainder. These divisors are 1, 2, 3, 6, 7, 14, 21, and 42. Therefore, 42 has a total of eight divisors.
The divisors of 64 are the numbers that can divide 64 without leaving a remainder. These divisors are 1, 2, 4, 8, 16, 32, and 64. In total, 64 has seven divisors. Additionally, since 64 is a power of 2 (specifically, (2^6)), its divisors are all the powers of 2 up to (2^6).
35 only has four divisors in total: 1, 5, 7,35.
7,200 has 54 different divisors.
54...
24 of them.
The number 12 has a total of six divisors: 1, 2, 3, 4, 6, 12.
The divisors of 42 are the numbers that can divide it without leaving a remainder. These divisors are 1, 2, 3, 6, 7, 14, 21, and 42. Therefore, 42 has a total of eight divisors.
200 has 12 divisors: 1, 2, 4, 5, 8, 10, 20, 25, 40, 50, 100, 200.
The divisors of 64 are the numbers that can divide 64 without leaving a remainder. These divisors are 1, 2, 4, 8, 16, 32, and 64. In total, 64 has seven divisors. Additionally, since 64 is a power of 2 (specifically, (2^6)), its divisors are all the powers of 2 up to (2^6).
To find the divisors of 33015, we start by performing its prime factorization, which is (3 \times 5 \times 7 \times 11 \times 13). The total number of divisors can be calculated using the formula ((e_1 + 1)(e_2 + 1)(e_3 + 1)...), where (e) represents the exponent of each prime factor. In this case, since all primes are raised to the first power, the total number of divisors is ((1+1)^5 = 32). The divisors include all combinations of these prime factors, resulting in a set of 32 distinct divisors.
The divisors of 36 are the numbers that can divide 36 without leaving a remainder. They are 1, 2, 3, 4, 6, 9, 12, 18, and 36. In total, there are nine divisors.
Divisors are used to divide numbers.
A perfect number is a number that is the sum of its divisors (the divisors exclude the number itself).When the sum of the divisors is greater than a number then that number is abundant.As the number itself is excluded from the divisors then the only divisor of 31 is 1.So, 31 is a deficient number.Note : The first few abundant numbers are 12,18,20,24,30 ... and these continue to be even. The first abundant odd number is 945 = 33 x 5 x 7 for which its divisors total 975.