Prime Factorization of 372
What is the Prime Factorization of 372?
or
Explanation of number 372 Prime Factorization
Prime Factorization of 372 it is expressing 372 as the product of prime factors. In other words it is finding which prime numbers should be multiplied together to make 372.
Since number 372 is a Composite number (not Prime) we can do its Prime Factorization.
To get a list of all Prime Factors of 372, we have to iteratively divide 372 by the smallest prime number possible until the result equals 1.
Here is the complete solution of finding Prime Factors of 372:
The smallest Prime Number which can divide 372 without a remainder is 2. So the first calculation step would look like:
372 ÷ 2 = 186
Now we repeat this action until the result equals 1:
186 ÷ 2 = 93
93 ÷ 3 = 31
31 ÷ 31 = 1
Now we have all the Prime Factors for number 372. It is: 2, 2, 3, 31
Or you may also write it in exponential form: 22 × 3 × 31
Prime Factor Tree of 372
We may also express the prime factorization of 372 as a Factor Tree:
Related Calculations
<a href="https://calculat.io/en/number/prime-factors-of/372">Prime factors of 372 - Calculatio</a>
Prime Factorization Table
| Number | Prime Factors |
|---|---|
| 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 |
| 384 | 27 × 3 |
| 385 | 5, 7, 11 |
| 386 | 2, 193 |
About "Prime Factorization" Calculator
Prime factors are the positive integers having only two factors - 1 and the number itself