Prime Factorization of 975
What is the Prime Factorization of 975?
or
Explanation of number 975 Prime Factorization
Prime Factorization of 975 it is expressing 975 as the product of prime factors. In other words it is finding which prime numbers should be multiplied together to make 975.
Since number 975 is a Composite number (not Prime) we can do its Prime Factorization.
To get a list of all Prime Factors of 975, we have to iteratively divide 975 by the smallest prime number possible until the result equals 1.
Here is the complete solution of finding Prime Factors of 975:
The smallest Prime Number which can divide 975 without a remainder is 3. So the first calculation step would look like:
975 ÷ 3 = 325
Now we repeat this action until the result equals 1:
325 ÷ 5 = 65
65 ÷ 5 = 13
13 ÷ 13 = 1
Now we have all the Prime Factors for number 975. It is: 3, 5, 5, 13
Or you may also write it in exponential form: 3 × 52 × 13
Prime Factor Tree of 975
We may also express the prime factorization of 975 as a Factor Tree:
Related Calculations
<a href="https://calculat.io/en/number/prime-factors-of/975">Prime factors of 975 - Calculatio</a>
Prime Factorization Table
| Number | Prime Factors |
|---|---|
| 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 |
| 983 | 983 |
| 984 | 23 × 3 × 41 |
| 985 | 5, 197 |
| 986 | 2, 17, 29 |
| 987 | 3, 7, 47 |
| 988 | 22 × 13 × 19 |
| 989 | 23, 43 |
About "Prime Factorization" Calculator
Prime factors are the positive integers having only two factors - 1 and the number itself