Prime Factorization of 1240

What is the Prime Factorization of 1240?

Answer: Prime Factors of 1240: 2, 2, 2, 5, 31

or

23 × 5 × 31

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:

Prime factors of 1240 factorization tree of 1240

Prime Factorization Table

NumberPrime Factors
52 × 72
12262, 613
12273, 409
122822 × 307
12291229
2, 3, 5, 41
12311231
24 × 7 × 11
123332 × 137
12342, 617
5, 13, 19
123622 × 3 × 103
12371237
12382, 619
12393, 7, 59
23 × 5 × 31
124117, 73
12422 × 33 × 23
124311, 113
124422 × 311
12453, 5, 83
12462, 7, 89
124729, 43
124825 × 3 × 13
12491249
2 × 54
125132 × 139
125222 × 313
12537, 179
12542, 3, 11, 19

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 1240? (The answer is: 2, 2, 2, 5, 31). Pick the number for factorization (e.g. '1240'). After that hit the 'Calculate' button.
Prime factors are the positive integers having only two factors - 1 and the number itself

FAQ

What is the Prime Factorization of 1240?

Prime Factors of 1240: 2, 2, 2, 5, 31

How many prime factors does 1240 have?

Number 1240 has 5 Prime Factors

What is the Prime Factorization of 1240 in exponential form?

The Prime Factorization of the number 1240 in the exponential form is: 23 × 5 × 31