Prime Factorization of 369
What is the Prime Factorization of 369?
or
Explanation of number 369 Prime Factorization
Prime Factorization of 369 it is expressing 369 as the product of prime factors. In other words it is finding which prime numbers should be multiplied together to make 369.
Since number 369 is a Composite number (not Prime) we can do its Prime Factorization.
To get a list of all Prime Factors of 369, we have to iteratively divide 369 by the smallest prime number possible until the result equals 1.
Here is the complete solution of finding Prime Factors of 369:
The smallest Prime Number which can divide 369 without a remainder is 3. So the first calculation step would look like:
369 ÷ 3 = 123
Now we repeat this action until the result equals 1:
123 ÷ 3 = 41
41 ÷ 41 = 1
Now we have all the Prime Factors for number 369. It is: 3, 3, 41
Or you may also write it in exponential form: 32 × 41
Prime Factor Tree of 369
We may also express the prime factorization of 369 as a Factor Tree:
Related Calculations
<a href="https://calculat.io/en/number/prime-factors-of/369">Prime factors of 369 - Calculatio</a>
Prime Factorization Table
| Number | Prime Factors |
|---|---|
| 354 | 2, 3, 59 |
| 355 | 5, 71 |
| 356 | 22 × 89 |
| 357 | 3, 7, 17 |
| 358 | 2, 179 |
| 359 | 359 |
| 360 | 23 × 32 × 5 |
| 361 | 192 |
| 362 | 2, 181 |
| 363 | 3 × 112 |
| 364 | 22 × 7 × 13 |
| 365 | 5, 73 |
| 366 | 2, 3, 61 |
| 367 | 367 |
| 368 | 24 × 23 |
| 369 | 32 × 41 |
| 370 | 2, 5, 37 |
| 371 | 7, 53 |
| 372 | 22 × 3 × 31 |
| 373 | 373 |
| 374 | 2, 11, 17 |
| 375 | 3 × 53 |
| 376 | 23 × 47 |
| 377 | 13, 29 |
| 378 | 2 × 33 × 7 |
| 379 | 379 |
| 380 | 22 × 5 × 19 |
| 381 | 3, 127 |
| 382 | 2, 191 |
| 383 | 383 |
About "Prime Factorization" Calculator
Prime factors are the positive integers having only two factors - 1 and the number itself