Prime Factorization of 961
What is the Prime Factorization of 961?
or
Explanation of number 961 Prime Factorization
Prime Factorization of 961 it is expressing 961 as the product of prime factors. In other words it is finding which prime numbers should be multiplied together to make 961.
Since number 961 is a Composite number (not Prime) we can do its Prime Factorization.
To get a list of all Prime Factors of 961, we have to iteratively divide 961 by the smallest prime number possible until the result equals 1.
Here is the complete solution of finding Prime Factors of 961:
The smallest Prime Number which can divide 961 without a remainder is 31. So the first calculation step would look like:
961 ÷ 31 = 31
Now we repeat this action until the result equals 1:
31 ÷ 31 = 1
Now we have all the Prime Factors for number 961. It is: 31, 31
Or you may also write it in exponential form: 312
Prime Factor Tree of 961
We may also express the prime factorization of 961 as a Factor Tree:
Related Calculations
<a href="https://calculat.io/en/number/prime-factors-of/961">Prime factors of 961 - Calculatio</a>
Prime Factorization Table
| Number | Prime Factors |
|---|---|
| 946 | 2, 11, 43 |
| 947 | 947 |
| 948 | 22 × 3 × 79 |
| 949 | 13, 73 |
| 950 | 2 × 52 × 19 |
| 951 | 3, 317 |
| 952 | 23 × 7 × 17 |
| 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 |
About "Prime Factorization" Calculator
Prime factors are the positive integers having only two factors - 1 and the number itself