Prime Factorization of 1240
What is the Prime Factorization of 1240?
or
Explanation of number 1240 Prime Factorization
Prime Factorization of 1240 it is expressing 1240 as the product of prime factors. In other words it is finding which prime numbers should be multiplied together to make 1240.
Since number 1240 is a Composite number (not Prime) we can do its Prime Factorization.
To get a list of all Prime Factors of 1240, we have to iteratively divide 1240 by the smallest prime number possible until the result equals 1.
Here is the complete solution of finding Prime Factors of 1240:
The smallest Prime Number which can divide 1240 without a remainder is 2. So the first calculation step would look like:
1240 ÷ 2 = 620
Now we repeat this action until the result equals 1:
620 ÷ 2 = 310
310 ÷ 2 = 155
155 ÷ 5 = 31
31 ÷ 31 = 1
Now we have all the Prime Factors for number 1240. It is: 2, 2, 2, 5, 31
Or you may also write it in exponential form: 23 × 5 × 31
Prime Factor Tree of 1240
We may also express the prime factorization of 1240 as a Factor Tree:
Related Calculations
See Also
- Factors of a Number - List all Factors and Factor Pairs of a Number
- Is number a Prime - Find out whether a given number is Prime or not
- Prime Numbers List - List of all Prime Numbers - how many Prime numbers are between
<a href="https://calculat.io/en/number/prime-factors-of/1240">Prime factors of 1240 - Calculatio</a>
Prime Factorization Table
| Number | Prime Factors |
|---|---|
| 1225 | 52 × 72 |
| 1226 | 2, 613 |
| 1227 | 3, 409 |
| 1228 | 22 × 307 |
| 1229 | 1229 |
| 1230 | 2, 3, 5, 41 |
| 1231 | 1231 |
| 1232 | 24 × 7 × 11 |
| 1233 | 32 × 137 |
| 1234 | 2, 617 |
| 1235 | 5, 13, 19 |
| 1236 | 22 × 3 × 103 |
| 1237 | 1237 |
| 1238 | 2, 619 |
| 1239 | 3, 7, 59 |
| 1240 | 23 × 5 × 31 |
| 1241 | 17, 73 |
| 1242 | 2 × 33 × 23 |
| 1243 | 11, 113 |
| 1244 | 22 × 311 |
| 1245 | 3, 5, 83 |
| 1246 | 2, 7, 89 |
| 1247 | 29, 43 |
| 1248 | 25 × 3 × 13 |
| 1249 | 1249 |
| 1250 | 2 × 54 |
| 1251 | 32 × 139 |
| 1252 | 22 × 313 |
| 1253 | 7, 179 |
| 1254 | 2, 3, 11, 19 |
About "Prime Factorization" Calculator
Prime factors are the positive integers having only two factors - 1 and the number itself