Prime Factorization of 3360
What is the Prime Factorization of 3360?
or
Explanation of number 3360 Prime Factorization
Prime Factorization of 3360 it is expressing 3360 as the product of prime factors. In other words it is finding which prime numbers should be multiplied together to make 3360.
Since number 3360 is a Composite number (not Prime) we can do its Prime Factorization.
To get a list of all Prime Factors of 3360, we have to iteratively divide 3360 by the smallest prime number possible until the result equals 1.
Here is the complete solution of finding Prime Factors of 3360:
The smallest Prime Number which can divide 3360 without a remainder is 2. So the first calculation step would look like:
3360 ÷ 2 = 1680
Now we repeat this action until the result equals 1:
1680 ÷ 2 = 840
840 ÷ 2 = 420
420 ÷ 2 = 210
210 ÷ 2 = 105
105 ÷ 3 = 35
35 ÷ 5 = 7
7 ÷ 7 = 1
Now we have all the Prime Factors for number 3360. It is: 2, 2, 2, 2, 2, 3, 5, 7
Or you may also write it in exponential form: 25 × 3 × 5 × 7
Prime Factor Tree of 3360
We may also express the prime factorization of 3360 as a Factor Tree:
Related Calculations
<a href="https://calculat.io/en/number/prime-factors-of/3360">Prime factors of 3360 - Calculatio</a>
Prime Factorization Table
| Number | Prime Factors |
|---|---|
| 3345 | 3, 5, 223 |
| 3346 | 2, 7, 239 |
| 3347 | 3347 |
| 3348 | 22 × 33 × 31 |
| 3349 | 17, 197 |
| 3350 | 2 × 52 × 67 |
| 3351 | 3, 1117 |
| 3352 | 23 × 419 |
| 3353 | 7, 479 |
| 3354 | 2, 3, 13, 43 |
| 3355 | 5, 11, 61 |
| 3356 | 22 × 839 |
| 3357 | 32 × 373 |
| 3358 | 2, 23, 73 |
| 3359 | 3359 |
| 3360 | 25 × 3 × 5 × 7 |
| 3361 | 3361 |
| 3362 | 2 × 412 |
| 3363 | 3, 19, 59 |
| 3364 | 22 × 292 |
| 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 |
About "Prime Factorization" Calculator
Prime factors are the positive integers having only two factors - 1 and the number itself