Table of Factors and Multiples
| Factors | Multiples | |
|---|---|---|
| 1, 5 | 5 | 15 |
| 1, 2, 3, 6 | 6 | 18 |
| 1, 7 | 7 | 21 |
| 1, 2, 4, 8 | 8 | 24 |
What is the smallest natural number with 10 divisors?
48 is the smallest number with exactly 10 divisors. It’s also the smallest with at least 10 divisors.
What is the smallest number that has 8 factors?
with one exception. The smallest number with 8 divisors would be 30 = 2*3*5 if the theorem always held, but in fact the smallest number with 8 divisors is 24.
How to determine the divisors of the number 8?
The decomposition of a number into prime factors is obtained by dividing the number among the prime numbers less than this. To determine which are the divisors of 8, first the number 8 is divided into prime factors, where we obtain that 8 = 2³ = 2 * 2 * 2.
What are the divisors of the decomposition of 8?
Once the decomposition has been made into prime factors, all possible products are calculated among these prime factors. In the case of 8, we only have a prime factor that is 2, but it is repeated 3 times. Therefore, the divisors of 8 are: 2, 2 * 2, and 2 * 2 * 2. That is: {2, 4, 8}.
Which is the divisor of the number 6?
An integer x is called a divisor (or a factor) of the number n if dividing n by x leaves no reminder. For example, for the number 6, the divisors are 1, 2, 3, 6, and for the number 7 only: 1, 7 (because it is a prime number ).
How to calculate the number of divisors in a table?
1 to 100 n Divisors d ( n ) σ ( n ) s ( n ) 31 1, 31 2 32 1 32 1, 2, 4, 8, 16, 32 6 63 31 33 1, 3, 11, 33 4 48 15 96 1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 96 12 252 156
