Prime Factorization of 1340

What is the Prime Factorization of 1340?

Answer: Prime Factors of 1340: 2, 2, 5, 67

or

22 × 5 × 67

Explanation of number 1340 Prime Factorization

Prime Factorization of 1340 it is expressing 1340 as the product of prime factors. In other words it is finding which prime numbers should be multiplied together to make 1340.

Since number 1340 is a Composite number (not Prime) we can do its Prime Factorization.

To get a list of all Prime Factors of 1340, we have to iteratively divide 1340 by the smallest prime number possible until the result equals 1.

Here is the complete solution of finding Prime Factors of 1340:

The smallest Prime Number which can divide 1340 without a remainder is 2. So the first calculation step would look like:

1340 ÷ 2 = 670

Now we repeat this action until the result equals 1:

670 ÷ 2 = 335

335 ÷ 5 = 67

67 ÷ 67 = 1

Now we have all the Prime Factors for number 1340. It is: 2, 2, 5, 67

Or you may also write it in exponential form: 22 × 5 × 67

Prime Factorization Table

NumberPrime Factors
52 × 53
13262, 3, 13, 17
13271327
132824 × 83
13293, 443
13302, 5, 7, 19
1331113
133222 × 32 × 37
133331, 43
13342, 23, 29
13353, 5, 89
133623 × 167
13377, 191
13382, 3, 223
133913, 103
134022 × 5 × 67
134132 × 149
13422, 11, 61
134317, 79
134426 × 3 × 7
13455, 269
13462, 673
13473, 449
134822 × 337
134919, 71
2 × 33 × 52
13517, 193
135223 × 132
13533, 11, 41
13542, 677

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 1340? (The answer is: 2, 2, 5, 67). Pick the number for factorization (e.g. '1340'). 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 1340?

Prime Factors of 1340: 2, 2, 5, 67

How many prime factors does 1340 have?

Number 1340 has 4 Prime Factors

What is the Prime Factorization of 1340 in exponential form?

The Prime Factorization of the number 1340 in the exponential form is: 22 × 5 × 67