Prime Factorization of 3375
"Prime Factorization" Calculator
What is the Prime Factorization of 3375?
or
Explanation of number 3375 Prime Factorization
Prime Factorization of 3375 it is expressing 3375 as the product of prime factors. In other words it is finding which prime numbers should be multiplied together to make 3375.
Since number 3375 is a Composite number (not Prime) we can do its Prime Factorization.
To get a list of all Prime Factors of 3375, we have to iteratively divide 3375 by the smallest prime number possible until the result equals 1.
Here is the complete solution of finding Prime Factors of 3375:
The smallest Prime Number which can divide 3375 without a remainder is 3. So the first calculation step would look like:
3375 ÷ 3 = 1125
Now we repeat this action until the result equals 1:
1125 ÷ 3 = 375
375 ÷ 3 = 125
125 ÷ 5 = 25
25 ÷ 5 = 5
5 ÷ 5 = 1
Now we have all the Prime Factors for number 3375. It is: 3, 3, 3, 5, 5, 5
Or you may also write it in exponential form: 33 × 53
Prime Factor Tree of 3375
We may also express the prime factorization of 3375 as a Factor Tree:
Related Calculations
About "Prime Factorization" Calculator
Prime factors are the positive integers having only two factors - 1 and the number itself
"Prime Factorization" Calculator
Prime Factorization Table
Number | Prime Factors |
---|---|
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 |
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 |
FAQ
What is the Prime Factorization of 3375?
How many prime factors does 3375 have?
What is the Prime Factorization of 3375 in exponential form?
See Also
- Prime factors of 3200
- Prime factors of 3220
- Prime factors of 3225
- Prime factors of 3235
- Prime factors of 3240
- Prime factors of 3276
- Prime factors of 3295
- Prime factors of 3300
- Prime factors of 3330
- Prime factors of 3360
- Prime factors of 3380
- Prime factors of 3400
- Prime factors of 3420
- Prime factors of 3450
- Prime factors of 3452
- Prime factors of 3465
- Prime factors of 3495
- Prime factors of 3500
- Prime factors of 3510
- Prime factors of 3520
- Простые множители числа 3375