Prime Factorization of 968
What is the Prime Factorization of 968?
or
Explanation of number 968 Prime Factorization
Prime Factorization of 968 it is expressing 968 as the product of prime factors. In other words it is finding which prime numbers should be multiplied together to make 968.
Since number 968 is a Composite number (not Prime) we can do its Prime Factorization.
To get a list of all Prime Factors of 968, we have to iteratively divide 968 by the smallest prime number possible until the result equals 1.
Here is the complete solution of finding Prime Factors of 968:
The smallest Prime Number which can divide 968 without a remainder is 2. So the first calculation step would look like:
968 ÷ 2 = 484
Now we repeat this action until the result equals 1:
484 ÷ 2 = 242
242 ÷ 2 = 121
121 ÷ 11 = 11
11 ÷ 11 = 1
Now we have all the Prime Factors for number 968. It is: 2, 2, 2, 11, 11
Or you may also write it in exponential form: 23 × 112
Prime Factor Tree of 968
We may also express the prime factorization of 968 as a Factor Tree:
Related Calculations
<a href="https://calculat.io/en/number/prime-factors-of/968">Prime factors of 968 - Calculatio</a>
Prime Factorization Table
| Number | Prime Factors |
|---|---|
| 953 | 953 |
| 954 | 2 × 32 × 53 |
| 955 | 5, 191 |
| 956 | 22 × 239 |
| 957 | 3, 11, 29 |
| 958 | 2, 479 |
| 959 | 7, 137 |
| 960 | 26 × 3 × 5 |
| 961 | 312 |
| 962 | 2, 13, 37 |
| 963 | 32 × 107 |
| 964 | 22 × 241 |
| 965 | 5, 193 |
| 966 | 2, 3, 7, 23 |
| 967 | 967 |
| 968 | 23 × 112 |
| 969 | 3, 17, 19 |
| 970 | 2, 5, 97 |
| 971 | 971 |
| 972 | 22 × 35 |
| 973 | 7, 139 |
| 974 | 2, 487 |
| 975 | 3 × 52 × 13 |
| 976 | 24 × 61 |
| 977 | 977 |
| 978 | 2, 3, 163 |
| 979 | 11, 89 |
| 980 | 22 × 5 × 72 |
| 981 | 32 × 109 |
| 982 | 2, 491 |
About "Prime Factorization" Calculator
Prime factors are the positive integers having only two factors - 1 and the number itself