Table of Contents
What is the smallest number with 6 divisors?
What is a superabundant number? Definition: a superabundant number is a number that have more divisors than any number smaller than it. Example: 12 is superabundant because it has 6 divisors : 1,2,3,4,6,12 and no other smaller number has at least 6 divisors .
What are divisors of 6?
Divisors of numbers
| Number | Prime factorization | Divisors |
|---|---|---|
| 6 | 2 * 3 | 1, 2, 3, 6 |
| 7 | 7 | 1, 7 |
| 8 | 23 | 1, 2, 4, 8 |
| 9 | 32 | 1, 3, 9 |
Is 6 a positive integer?
1, 2, 3, 4, 5, 6, 7…… are positive integers and -1, -2, -3, -4, -5, -6, -7…… are negative integers. On an integer number line, all numbers to the right of 0 are positive integers and all numbers to the left of 0 are negative integers.
Is 6 a divisor of 18 and why?
Yes, 6 is a divisor of 18. A divisor of a number x is an integer y, such that y divides…
Which is the smallest positive integer?
0
0 is the smallest positive integer.
Is 1 a positive integer?
The natural numbers 1, 2, 3, 4, 5, ……… are called positive integers. Thus, examples of positive integers are 1, 2, 3, 4, 5, ………. .
What is the sixth positive integer with 15 divisors?
Since 15=3*5 the positive integers with 15 divisors are either in the form p^4*q^2 or in the form p^14, where p and q are prime numbers. The sixth would be 2025. 9.) What is the smallest positive integer that has exactly 21 positive factors?
How to find the smallest prime divisor of a given number?
Approach: 1 Check if the number is divisible by 2 or not. 2 Iterate from i = 3 to sqrt (N) and making a jump of 2. 3 If any of the numbers divide N then it is the smallest prime divisor. 4 If none of them divide, then N is the answer.
What is the smallest value of n with 15 divisors?
The smallest possible values for N in each case is: MS in Data Science Online—Become a Data Scientist. Meet the growing demand for data science jobs with DataScience@Denver. Since 15=3*5 the positive integers with 15 divisors are either in the form p^4*q^2 or in the form p^14, where p and q are prime numbers. The sixth would be 2025.
What is the smallest positive integer that has exactly 21 positive factors?
Since the question did not specify that the factors had to be unique, the smallest positive integer that has exactly 21 positive factors is 2 × 2 × 2 …, twenty-one times. This is 2 21 = 2097152. 2 × 3 × 5 × 7 × 11 ….