Prime Factorization of 6955
What is the Prime Factorization of 6955?
Explanation of number 6955 Prime Factorization
Prime Factorization of 6955 it is expressing 6955 as the product of prime factors. In other words it is finding which prime numbers should be multiplied together to make 6955.
Since number 6955 is a Composite number (not Prime) we can do its Prime Factorization.
To get a list of all Prime Factors of 6955, we have to iteratively divide 6955 by the smallest prime number possible until the result equals 1.
Here is the complete solution of finding Prime Factors of 6955:
The smallest Prime Number which can divide 6955 without a remainder is 5. So the first calculation step would look like:
6955 ÷ 5 = 1391
Now we repeat this action until the result equals 1:
1391 ÷ 13 = 107
107 ÷ 107 = 1
Now we have all the Prime Factors for number 6955. It is: 5, 13, 107
See Also
- Factors of a Number - List all Factors and Factor Pairs of a Number
- Is number a Prime - Find out whether a given number is Prime or not
- Prime Numbers List - List of all Prime Numbers - how many Prime numbers are between

Prime Factorization Table
| Number | Prime Factors |
|---|---|
| 6940 | 22 × 5 × 347 |
| 6941 | 11, 631 |
| 6942 | 2, 3, 13, 89 |
| 6943 | 53, 131 |
| 6944 | 25 × 7 × 31 |
| 6945 | 3, 5, 463 |
| 6946 | 2, 23, 151 |
| 6947 | 6947 |
| 6948 | 22 × 32 × 193 |
| 6949 | 6949 |
| 6950 | 2 × 52 × 139 |
| 6951 | 3, 7, 331 |
| 6952 | 23 × 11 × 79 |
| 6953 | 17, 409 |
| 6954 | 2, 3, 19, 61 |
| 6955 | 5, 13, 107 |
| 6956 | 22 × 37 × 47 |
| 6957 | 32 × 773 |
| 6958 | 2 × 72 × 71 |
| 6959 | 6959 |
| 6960 | 24 × 3 × 5 × 29 |
| 6961 | 6961 |
| 6962 | 2 × 592 |
| 6963 | 3, 11, 211 |
| 6964 | 22 × 1741 |
| 6965 | 5, 7, 199 |
| 6966 | 2 × 34 × 43 |
| 6967 | 6967 |
| 6968 | 23 × 13 × 67 |
| 6969 | 3, 23, 101 |
About "Prime Factorization" Calculator
Prime factors are the positive integers having only two factors - 1 and the number itself