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If it is assumed that, by saying "divisor" only positive divisors are involved; it may be, "any Prime number" to the power of four. To find the number of the positive divisors of a definite number, we can follow these steps;
1- First, the number should be written in the form: A= ax.by.cz... where; a, b & c are prime numbers. For instance, 12 can be written as: 12=22.31
2- Number of positive divisors are; (x+1).(y+1).(z+1), an equation, which can be found by solving the related probability problem about the possible different combinations of multiplications to form the related number. So, 12 has; (2+1).(1+1)=6 divisors including 1 and itself, which are; 12, 6, 4, 3, 2, 1.
Returning to real problem, since the desired number of positive divisors are 5, equation 2 can only be written as; (4+1).(0+1)=5 So, x=4 & y=0, z=0...
So, the number is; A= a4 i.e; 16, 81, 625 etc...
What else can I help you with?
A number 1 whose only divisors are 1 and itself?
positive divisors of 600 inclusive of 1 and 600 itself
What is the divisors of 5?
Because five is a prime number its only divisors are 1 and itself.
Why 89 is a prime number?
The only numbers which divide into 89 exactly are 1 and 89. These are called factors or divisors. Any number which has exactly 2 divisors (1 and the number itself) is a prime number.
Is 35 aprime number?
No, 35 is not a prime number. A prime number is defined as a number greater than 1 that has no positive divisors other than 1 and itself. Since 35 can be divided by 1, 5, 7, and 35, it has divisors other than 1 and itself, making it a composite number.
Is 76 an abundant deficient or perfect?
Abundant, deficient and perfect numbers are determined by the sum of the proper divisors (or factors) of a number, which excludes the number itself. The factors of 76 are : 1,2,4,19,38,76 . . . after excluding the number itself the sum of the proper divisors is :- 1+2+4+19+38= 64 Deficient numbers occur when the sum of the proper divisors is less than the number itself. As 64 is less that 76 then it is deficient.
A number 1 whose only divisors are 1 and itself?
positive divisors of 600 inclusive of 1 and 600 itself
What are the divisors of 11?
Since 11 is a prime number, its only divisors are 1 and itself.
What is the divisors of 5?
Because five is a prime number its only divisors are 1 and itself.
Do bigger numbers necessarily have more divisors?
No they do not, take a big prime number and compare it to a smaller composite number. The number 6833 as only two factors (divisors), namely 1 and itself. But the number 68 which is much smaller has more factors or divisors. 68 has 2 and 4 and 17 and 1 and itself which is already more divisors than 6833.
What are the divisors of the number 47.?
47 is prime. Its only factors are 1 and itself.
Are all prime numbers imperfect?
yes. The only divisors of a prime number are itself and 1. Without counting the prime number, the sum of it's divisors is always 1.
Why 89 is a prime number?
The only numbers which divide into 89 exactly are 1 and 89. These are called factors or divisors. Any number which has exactly 2 divisors (1 and the number itself) is a prime number.
What is the divisor for 71?
71 is a prime number so its only divisors are 1 and itself.
Is it true that every number has at least 2 divisors?
Yes. Every number is divisible by itself or 1.
Is 31 an abundent number?
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.
Is 76 an abundant deficient or perfect?
Abundant, deficient and perfect numbers are determined by the sum of the proper divisors (or factors) of a number, which excludes the number itself. The factors of 76 are : 1,2,4,19,38,76 . . . after excluding the number itself the sum of the proper divisors is :- 1+2+4+19+38= 64 Deficient numbers occur when the sum of the proper divisors is less than the number itself. As 64 is less that 76 then it is deficient.
Is 21 a primenumber?
No, 21 is not a prime number. A prime number is defined as a natural number greater than 1 that has no positive divisors other than 1 and itself. Since 21 can be divided evenly by 1, 3, 7, and 21, it has divisors other than 1 and itself, making it a composite number.
