Prime Factorization of 1029
What is the Prime Factorization of 1029?
or
Explanation of number 1029 Prime Factorization
Prime Factorization of 1029 it is expressing 1029 as the product of prime factors. In other words it is finding which prime numbers should be multiplied together to make 1029.
Since number 1029 is a Composite number (not Prime) we can do its Prime Factorization.
To get a list of all Prime Factors of 1029, we have to iteratively divide 1029 by the smallest prime number possible until the result equals 1.
Here is the complete solution of finding Prime Factors of 1029:
The smallest Prime Number which can divide 1029 without a remainder is 3. So the first calculation step would look like:
1029 ÷ 3 = 343
Now we repeat this action until the result equals 1:
343 ÷ 7 = 49
49 ÷ 7 = 7
7 ÷ 7 = 1
Now we have all the Prime Factors for number 1029. It is: 3, 7, 7, 7
Or you may also write it in exponential form: 3 × 73
Prime Factor Tree of 1029
We may also express the prime factorization of 1029 as a Factor Tree:
Related Calculations
<a href="https://calculat.io/en/number/prime-factors-of/1029">Prime factors of 1029 - Calculatio</a>
Prime Factorization Table
| Number | Prime Factors |
|---|---|
| 1014 | 2 × 3 × 132 |
| 1015 | 5, 7, 29 |
| 1016 | 23 × 127 |
| 1017 | 32 × 113 |
| 1018 | 2, 509 |
| 1019 | 1019 |
| 1020 | 22 × 3 × 5 × 17 |
| 1021 | 1021 |
| 1022 | 2, 7, 73 |
| 1023 | 3, 11, 31 |
| 1024 | 210 |
| 1025 | 52 × 41 |
| 1026 | 2 × 33 × 19 |
| 1027 | 13, 79 |
| 1028 | 22 × 257 |
| 1029 | 3 × 73 |
| 1030 | 2, 5, 103 |
| 1031 | 1031 |
| 1032 | 23 × 3 × 43 |
| 1033 | 1033 |
| 1034 | 2, 11, 47 |
| 1035 | 32 × 5 × 23 |
| 1036 | 22 × 7 × 37 |
| 1037 | 17, 61 |
| 1038 | 2, 3, 173 |
| 1039 | 1039 |
| 1040 | 24 × 5 × 13 |
| 1041 | 3, 347 |
| 1042 | 2, 521 |
| 1043 | 7, 149 |
About "Prime Factorization" Calculator
Prime factors are the positive integers having only two factors - 1 and the number itself