Prime Factorization of 2400
What is the Prime Factorization of 2400?
or
Explanation of number 2400 Prime Factorization
Prime Factorization of 2400 it is expressing 2400 as the product of prime factors. In other words it is finding which prime numbers should be multiplied together to make 2400.
Since number 2400 is a Composite number (not Prime) we can do its Prime Factorization.
To get a list of all Prime Factors of 2400, we have to iteratively divide 2400 by the smallest prime number possible until the result equals 1.
Here is the complete solution of finding Prime Factors of 2400:
The smallest Prime Number which can divide 2400 without a remainder is 2. So the first calculation step would look like:
2400 ÷ 2 = 1200
Now we repeat this action until the result equals 1:
1200 ÷ 2 = 600
600 ÷ 2 = 300
300 ÷ 2 = 150
150 ÷ 2 = 75
75 ÷ 3 = 25
25 ÷ 5 = 5
5 ÷ 5 = 1
Now we have all the Prime Factors for number 2400. It is: 2, 2, 2, 2, 2, 3, 5, 5
Or you may also write it in exponential form: 25 × 3 × 52
Prime Factor Tree of 2400
We may also express the prime factorization of 2400 as a Factor Tree:
Related Calculations
<a href="https://calculat.io/en/number/prime-factors-of/2400">Prime factors of 2400 - Calculatio</a>
Prime Factorization Table
| Number | Prime Factors |
|---|---|
| 2385 | 32 × 5 × 53 |
| 2386 | 2, 1193 |
| 2387 | 7, 11, 31 |
| 2388 | 22 × 3 × 199 |
| 2389 | 2389 |
| 2390 | 2, 5, 239 |
| 2391 | 3, 797 |
| 2392 | 23 × 13 × 23 |
| 2393 | 2393 |
| 2394 | 2 × 32 × 7 × 19 |
| 2395 | 5, 479 |
| 2396 | 22 × 599 |
| 2397 | 3, 17, 47 |
| 2398 | 2, 11, 109 |
| 2399 | 2399 |
| 2400 | 25 × 3 × 52 |
| 2401 | 74 |
| 2402 | 2, 1201 |
| 2403 | 33 × 89 |
| 2404 | 22 × 601 |
| 2405 | 5, 13, 37 |
| 2406 | 2, 3, 401 |
| 2407 | 29, 83 |
| 2408 | 23 × 7 × 43 |
| 2409 | 3, 11, 73 |
| 2410 | 2, 5, 241 |
| 2411 | 2411 |
| 2412 | 22 × 32 × 67 |
| 2413 | 19, 127 |
| 2414 | 2, 17, 71 |
About "Prime Factorization" Calculator
Prime factors are the positive integers having only two factors - 1 and the number itself