Prime Factorization of 1040

What is the Prime Factorization of 1040?

Answer: Prime Factors of 1040: 2, 2, 2, 2, 5, 13

or

24 × 5 × 13

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

About "Prime Factorization" Calculator

This calculator will perform a Prime Factorization of any given number and will show all its Prime Factors. For example, it can help you find out what is the Prime Factorization of 1040? (The answer is: 2, 2, 2, 2, 5, 13). Pick the number for factorization (e.g. '1040'). After that hit the 'Calculate' button.
Prime factors are the positive integers having only two factors - 1 and the number itself

Prime Factorization Table

NumberPrime Factors
52 × 41
10262 × 33 × 19
102713, 79
102822 × 257
3 × 73
2, 5, 103
10311031
103223 × 3 × 43
10331033
10342, 11, 47
32 × 5 × 23
103622 × 7 × 37
103717, 61
10382, 3, 173
10391039
24 × 5 × 13
10413, 347
10422, 521
10437, 149
104422 × 32 × 29
10455, 11, 19
10462, 523
10473, 349
104823 × 131
10491049
2 × 3 × 52 × 7
10511051
105222 × 263
105334 × 13
10542, 17, 31

FAQ

What is the Prime Factorization of 1040?

Prime Factors of 1040: 2, 2, 2, 2, 5, 13

How many prime factors does 1040 have?

Number 1040 has 6 Prime Factors

What is the Prime Factorization of 1040 in exponential form?

The Prime Factorization of the number 1040 in the exponential form is: 24 × 5 × 13