Prime Factorization of 1040
"Prime Factorization" Calculator
What is the Prime Factorization of 1040?
or
Explanation of number 1040 Prime Factorization
Prime Factorization of 1040 it is expressing 1040 as the product of prime factors. In other words it is finding which prime numbers should be multiplied together to make 1040.
Since number 1040 is a Composite number (not Prime) we can do its Prime Factorization.
To get a list of all Prime Factors of 1040, we have to iteratively divide 1040 by the smallest prime number possible until the result equals 1.
Here is the complete solution of finding Prime Factors of 1040:
The smallest Prime Number which can divide 1040 without a remainder is 2. So the first calculation step would look like:
1040 ÷ 2 = 520
Now we repeat this action until the result equals 1:
520 ÷ 2 = 260
260 ÷ 2 = 130
130 ÷ 2 = 65
65 ÷ 5 = 13
13 ÷ 13 = 1
Now we have all the Prime Factors for number 1040. It is: 2, 2, 2, 2, 5, 13
Or you may also write it in exponential form: 24 × 5 × 13
Prime Factor Tree of 1040
We may also express the prime factorization of 1040 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
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 |
---|---|
1025 | 52 × 41 |
1026 | 2 × 33 × 19 |
1027 | 13, 79 |
1028 | 22 × 257 |
1029 | 3 × 73 |
1030 | 2, 5, 103 |
1031 | 1031 |
1032 | 23 × 3 × 43 |
1033 | 1033 |
1034 | 2, 11, 47 |
1035 | 32 × 5 × 23 |
1036 | 22 × 7 × 37 |
1037 | 17, 61 |
1038 | 2, 3, 173 |
1039 | 1039 |
1040 | 24 × 5 × 13 |
1041 | 3, 347 |
1042 | 2, 521 |
1043 | 7, 149 |
1044 | 22 × 32 × 29 |
1045 | 5, 11, 19 |
1046 | 2, 523 |
1047 | 3, 349 |
1048 | 23 × 131 |
1049 | 1049 |
1050 | 2 × 3 × 52 × 7 |
1051 | 1051 |
1052 | 22 × 263 |
1053 | 34 × 13 |
1054 | 2, 17, 31 |
FAQ
What is the Prime Factorization of 1040?
How many prime factors does 1040 have?
What is the Prime Factorization of 1040 in exponential form?
See Also
- Prime factors of 1001
- Prime factors of 1005
- Prime factors of 1010
- Prime factors of 1015
- Prime factors of 1020
- Prime factors of 1024
- Prime factors of 1025
- Prime factors of 1029
- Prime factors of 1030
- Prime factors of 1035
- Prime factors of 1050
- Prime factors of 1060
- Prime factors of 1080
- Prime factors of 1085
- Prime factors of 1095
- Prime factors of 1100
- Prime factors of 1105
- Prime factors of 1110
- Prime factors of 1120
- Prime factors of 1125
- Простые множители числа 1040