Prime Factorization of 340

What is the Prime Factorization of 340?

Answer: Prime Factors of 340: 2, 2, 5, 17

or

22 × 5 × 17

Explanation of number 340 Prime Factorization

Prime Factorization of 340 it is expressing 340 as the product of prime factors. In other words it is finding which prime numbers should be multiplied together to make 340.

Since number 340 is a Composite number (not Prime) we can do its Prime Factorization.

To get a list of all Prime Factors of 340, we have to iteratively divide 340 by the smallest prime number possible until the result equals 1.

Here is the complete solution of finding Prime Factors of 340:

The smallest Prime Number which can divide 340 without a remainder is 2. So the first calculation step would look like:

340 ÷ 2 = 170

Now we repeat this action until the result equals 1:

170 ÷ 2 = 85

85 ÷ 5 = 17

17 ÷ 17 = 1

Now we have all the Prime Factors for number 340. It is: 2, 2, 5, 17

Or you may also write it in exponential form: 22 × 5 × 17

Prime Factor Tree of 340

We may also express the prime factorization of 340 as a Factor Tree:

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 340? (The answer is: 2, 2, 5, 17). Pick the number for factorization (e.g. '340'). 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 × 13
2, 163
3, 109
23 × 41
7, 47
2, 3, 5, 11
331
22 × 83
32 × 37
2, 167
5, 67
24 × 3 × 7
337
2 × 132
3, 113
22 × 5 × 17
11, 31
2 × 32 × 19
73
23 × 43
3, 5, 23
2, 173
347
22 × 3 × 29
349
2 × 52 × 7
33 × 13
25 × 11
353
2, 3, 59

FAQ

What is the Prime Factorization of 340?

Prime Factors of 340: 2, 2, 5, 17

How many prime factors does 340 have?

Number 340 has 4 Prime Factors

What is the Prime Factorization of 340 in exponential form?

The Prime Factorization of the number 340 in the exponential form is: 22 × 5 × 17