Prime Factorization of 1440
What is the Prime Factorization of 1440?
or
Explanation of number 1440 Prime Factorization
Prime Factorization of 1440 it is expressing 1440 as the product of prime factors. In other words it is finding which prime numbers should be multiplied together to make 1440.
Since number 1440 is a Composite number (not Prime) we can do its Prime Factorization.
To get a list of all Prime Factors of 1440, we have to iteratively divide 1440 by the smallest prime number possible until the result equals 1.
Here is the complete solution of finding Prime Factors of 1440:
The smallest Prime Number which can divide 1440 without a remainder is 2. So the first calculation step would look like:
1440 ÷ 2 = 720
Now we repeat this action until the result equals 1:
720 ÷ 2 = 360
360 ÷ 2 = 180
180 ÷ 2 = 90
90 ÷ 2 = 45
45 ÷ 3 = 15
15 ÷ 3 = 5
5 ÷ 5 = 1
Now we have all the Prime Factors for number 1440. It is: 2, 2, 2, 2, 2, 3, 3, 5
Or you may also write it in exponential form: 25 × 32 × 5
Prime Factor Tree of 1440
We may also express the prime factorization of 1440 as a Factor Tree:
Related Calculations
<a href="https://calculat.io/en/number/prime-factors-of/1440">Prime factors of 1440 - Calculatio</a>
Prime Factorization Table
| Number | Prime Factors |
|---|---|
| 1425 | 3 × 52 × 19 |
| 1426 | 2, 23, 31 |
| 1427 | 1427 |
| 1428 | 22 × 3 × 7 × 17 |
| 1429 | 1429 |
| 1430 | 2, 5, 11, 13 |
| 1431 | 33 × 53 |
| 1432 | 23 × 179 |
| 1433 | 1433 |
| 1434 | 2, 3, 239 |
| 1435 | 5, 7, 41 |
| 1436 | 22 × 359 |
| 1437 | 3, 479 |
| 1438 | 2, 719 |
| 1439 | 1439 |
| 1440 | 25 × 32 × 5 |
| 1441 | 11, 131 |
| 1442 | 2, 7, 103 |
| 1443 | 3, 13, 37 |
| 1444 | 22 × 192 |
| 1445 | 5 × 172 |
| 1446 | 2, 3, 241 |
| 1447 | 1447 |
| 1448 | 23 × 181 |
| 1449 | 32 × 7 × 23 |
| 1450 | 2 × 52 × 29 |
| 1451 | 1451 |
| 1452 | 22 × 3 × 112 |
| 1453 | 1453 |
| 1454 | 2, 727 |
About "Prime Factorization" Calculator
Prime factors are the positive integers having only two factors - 1 and the number itself