Prime Factorization of 3380
What is the Prime Factorization of 3380?
or
Explanation of number 3380 Prime Factorization
Prime Factorization of 3380 it is expressing 3380 as the product of prime factors. In other words it is finding which prime numbers should be multiplied together to make 3380.
Since number 3380 is a Composite number (not Prime) we can do its Prime Factorization.
To get a list of all Prime Factors of 3380, we have to iteratively divide 3380 by the smallest prime number possible until the result equals 1.
Here is the complete solution of finding Prime Factors of 3380:
The smallest Prime Number which can divide 3380 without a remainder is 2. So the first calculation step would look like:
3380 ÷ 2 = 1690
Now we repeat this action until the result equals 1:
1690 ÷ 2 = 845
845 ÷ 5 = 169
169 ÷ 13 = 13
13 ÷ 13 = 1
Now we have all the Prime Factors for number 3380. It is: 2, 2, 5, 13, 13
Or you may also write it in exponential form: 22 × 5 × 132
Prime Factor Tree of 3380
We may also express the prime factorization of 3380 as a Factor Tree:
Related Calculations
<a href="https://calculat.io/en/number/prime-factors-of/3380">Prime factors of 3380 - Calculatio</a>
Prime Factorization Table
| Number | Prime Factors |
|---|---|
| 3365 | 5, 673 |
| 3366 | 2 × 32 × 11 × 17 |
| 3367 | 7, 13, 37 |
| 3368 | 23 × 421 |
| 3369 | 3, 1123 |
| 3370 | 2, 5, 337 |
| 3371 | 3371 |
| 3372 | 22 × 3 × 281 |
| 3373 | 3373 |
| 3374 | 2, 7, 241 |
| 3375 | 33 × 53 |
| 3376 | 24 × 211 |
| 3377 | 11, 307 |
| 3378 | 2, 3, 563 |
| 3379 | 31, 109 |
| 3380 | 22 × 5 × 132 |
| 3381 | 3 × 72 × 23 |
| 3382 | 2, 19, 89 |
| 3383 | 17, 199 |
| 3384 | 23 × 32 × 47 |
| 3385 | 5, 677 |
| 3386 | 2, 1693 |
| 3387 | 3, 1129 |
| 3388 | 22 × 7 × 112 |
| 3389 | 3389 |
| 3390 | 2, 3, 5, 113 |
| 3391 | 3391 |
| 3392 | 26 × 53 |
| 3393 | 32 × 13 × 29 |
| 3394 | 2, 1697 |
About "Prime Factorization" Calculator
Prime factors are the positive integers having only two factors - 1 and the number itself