How do you find the divisors of a number?
Table of Contents
- 1 How do you find the divisors of a number?
- 2 Which number has the most divisors?
- 3 How do you find the product of divisors?
- 4 How do you find the divisors of 60?
- 5 How many divisors does 7200 have?
- 6 What are the divisors of 48?
- 7 What are the divisors of 9?
- 8 What is the divisors of 12?
- 9 How do you find a number that is divisible by 3?
- 10 How many divisors does the number 120 have?
How do you find the divisors of a number?
For any natural number N, the divisors (also known as factors) are those numbers that divide the number N without leaving a remainder. For example, Divisors of 15 are 1, 3, 5, 15. All divisors of 24 are 1, 2, 3, 4, 6, 8, 12, 24.
Which number has the most divisors?
Hence, 176 has the most number of divisors.
What are divisors of 32?
Divisors of numbers
| Number | Prime factorization | Divisors |
|---|---|---|
| 30 | 2 * 3 * 5 | 1, 2, 3, 5, 6, 10, 15, 30 |
| 31 | 31 | 1, 31 |
| 32 | 25 | 1, 2, 4, 8, 16, 32 |
| 33 | 3 * 11 | 1, 3, 11, 33 |
How do you find the product of divisors?
So, the total product will be (36 ^ (number of pairs))/6. So, effectively if we have to calculate the product of divisors for a number N which is a perfect square, our equation becomes N^((D-2)/2) which is N^(D-2)/2.
How do you find the divisors of 60?
A number is said to be composite if it has more than two factors.
- 60 ÷ 2 = 33.
- 5 and 12 are factors of 60.
- Factors of 60 are 1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, and 60.
How many divisors does 182 have?
182 (number)
| ← 181 182 183 → | |
|---|---|
| Factorization | 2 × 7 × 13 |
| Divisors | 1, 2, 7, 13, 14, 26, 91, 182 |
| Greek numeral | ΡΠΒ´ |
| Roman numeral | CLXXXII |
How many divisors does 7200 have?
The number 7,200 can be divided by 54 positive divisors (out of which 45 are even, and 9 are odd). The sum of these divisors (counting 7,200) is 25,389, the average is 4,70.,166.
What are the divisors of 48?
Divisors of numbers
| Number | Prime factorization | Divisors |
|---|---|---|
| 47 | 47 | 1, 47 |
| 48 | 24 * 3 | 1, 2, 3, 4, 6, 8, 12, 16, 24, 48 |
| 49 | 72 | 1, 7, 49 |
| 50 | 52 * 2 | 1, 2, 5, 10, 25, 50 |
What are the divisors of 90?
What is the list of divisors from 1 to 100?
| Number | List of Divisors |
|---|---|
| Divisors of 90 | 1,2,3,5,6,9,10,15,18,30,45,90 |
| Divisors of 91 | 1,7,13,91 |
| Divisors of 92 | 1,2,4,23,46,92 |
| Divisors of 93 | 1,3,31,93 |
What are the divisors of 9?
Divisors of numbers
| Number | Prime factorization | Divisors |
|---|---|---|
| 7 | 7 | 1, 7 |
| 8 | 23 | 1, 2, 4, 8 |
| 9 | 32 | 1, 3, 9 |
| 10 | 2 * 5 | 1, 2, 5, 10 |
What is the divisors of 12?
4. So, the divisors or factors of the number 12 are 1,2,3,4,6 and 12.
How to find all the divisors of a number?
If the number is large, use prime factorization, then find all the possible powers that can be made, then you have all the divisors. If the number is large, use prime factorization, then find all the possible powers that can be made, then you have all the divisors.
How do you find a number that is divisible by 3?
What you could do is use some of the properties of numbers. For instance: – if the sum of the digits is divisible by 3, then the number will be divisible by 3 (example: 192 – 1+9+2 = 12, which is divisible by 3. That means that 192 will also be divisible by 3)
How many divisors does the number 120 have?
If the number is large, use prime factorization, then find all the possible powers that can be made, then you have all the divisors. So those are the 16 divisors of 120, produced by looking at the powers possible (from 3,1,1 to 0,0,0).
What are the divisors of 600?
For example, let’s find the divisors of 600. 600 = 2 3 × 3 1 × 5 2, so let’s find all the numbers that are products of 2, 3, and 5 raised to some power not larger than any power found in the prime factorization of 600. \\qquad\\begin {align} 1 &= 2^0 imes 3^0 imes 5^0\\\\ 2 &= \\qquad\\begin {align} 1 &= 2^0 imes 3^0 imes 5^0\\\\ 2 &=