Prime Factorization of 1325
What is the Prime Factorization of 1325?
or
Explanation of number 1325 Prime Factorization
Prime Factorization of 1325 it is expressing 1325 as the product of prime factors. In other words it is finding which prime numbers should be multiplied together to make 1325.
Since number 1325 is a Composite number (not Prime) we can do its Prime Factorization.
To get a list of all Prime Factors of 1325, we have to iteratively divide 1325 by the smallest prime number possible until the result equals 1.
Here is the complete solution of finding Prime Factors of 1325:
The smallest Prime Number which can divide 1325 without a remainder is 5. So the first calculation step would look like:
1325 ÷ 5 = 265
Now we repeat this action until the result equals 1:
265 ÷ 5 = 53
53 ÷ 53 = 1
Now we have all the Prime Factors for number 1325. It is: 5, 5, 53
Or you may also write it in exponential form: 52 × 53
Prime Factor Tree of 1325
We may also express the prime factorization of 1325 as a Factor Tree:
Related Calculations
<a href="https://calculat.io/en/number/prime-factors-of/1325">Prime factors of 1325 - Calculatio</a>
Prime Factorization Table
| Number | Prime Factors |
|---|---|
| 1310 | 2, 5, 131 |
| 1311 | 3, 19, 23 |
| 1312 | 25 × 41 |
| 1313 | 13, 101 |
| 1314 | 2 × 32 × 73 |
| 1315 | 5, 263 |
| 1316 | 22 × 7 × 47 |
| 1317 | 3, 439 |
| 1318 | 2, 659 |
| 1319 | 1319 |
| 1320 | 23 × 3 × 5 × 11 |
| 1321 | 1321 |
| 1322 | 2, 661 |
| 1323 | 33 × 72 |
| 1324 | 22 × 331 |
| 1325 | 52 × 53 |
| 1326 | 2, 3, 13, 17 |
| 1327 | 1327 |
| 1328 | 24 × 83 |
| 1329 | 3, 443 |
| 1330 | 2, 5, 7, 19 |
| 1331 | 113 |
| 1332 | 22 × 32 × 37 |
| 1333 | 31, 43 |
| 1334 | 2, 23, 29 |
| 1335 | 3, 5, 89 |
| 1336 | 23 × 167 |
| 1337 | 7, 191 |
| 1338 | 2, 3, 223 |
| 1339 | 13, 103 |
About "Prime Factorization" Calculator
Prime factors are the positive integers having only two factors - 1 and the number itself