Prime Factorization of 352
What is the Prime Factorization of 352?
or
Explanation of number 352 Prime Factorization
Prime Factorization of 352 it is expressing 352 as the product of prime factors. In other words it is finding which prime numbers should be multiplied together to make 352.
Since number 352 is a Composite number (not Prime) we can do its Prime Factorization.
To get a list of all Prime Factors of 352, we have to iteratively divide 352 by the smallest prime number possible until the result equals 1.
Here is the complete solution of finding Prime Factors of 352:
The smallest Prime Number which can divide 352 without a remainder is 2. So the first calculation step would look like:
352 ÷ 2 = 176
Now we repeat this action until the result equals 1:
176 ÷ 2 = 88
88 ÷ 2 = 44
44 ÷ 2 = 22
22 ÷ 2 = 11
11 ÷ 11 = 1
Now we have all the Prime Factors for number 352. It is: 2, 2, 2, 2, 2, 11
Or you may also write it in exponential form: 25 × 11
Prime Factor Tree of 352
We may also express the prime factorization of 352 as a Factor Tree:
Related Calculations
<a href="https://calculat.io/en/number/prime-factors-of/352">Prime factors of 352 - Calculatio</a>
Prime Factorization Table
| Number | Prime Factors |
|---|---|
| 337 | 337 |
| 338 | 2 × 132 |
| 339 | 3, 113 |
| 340 | 22 × 5 × 17 |
| 341 | 11, 31 |
| 342 | 2 × 32 × 19 |
| 343 | 73 |
| 344 | 23 × 43 |
| 345 | 3, 5, 23 |
| 346 | 2, 173 |
| 347 | 347 |
| 348 | 22 × 3 × 29 |
| 349 | 349 |
| 350 | 2 × 52 × 7 |
| 351 | 33 × 13 |
| 352 | 25 × 11 |
| 353 | 353 |
| 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 |
About "Prime Factorization" Calculator
Prime factors are the positive integers having only two factors - 1 and the number itself