Prime Factorization of 961
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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:
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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
About "Prime Factorization" Calculator
Prime factors are the positive integers having only two factors - 1 and the number itself
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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 |
FAQ
What is the Prime Factorization of 961?
How many prime factors does 961 have?
What is the Prime Factorization of 961 in exponential form?
See Also
- Prime factors of 943
- Prime factors of 944
- Prime factors of 945
- Prime factors of 946
- Prime factors of 947
- Prime factors of 949
- Prime factors of 950
- Prime factors of 954
- Prime factors of 957
- Prime factors of 960
- Prime factors of 963
- Prime factors of 964
- Prime factors of 966
- Prime factors of 967
- Prime factors of 968
- Prime factors of 969
- Prime factors of 972
- Prime factors of 975
- Prime factors of 976
- Prime factors of 977
- Простые множители числа 961