Prime Factorization of 3340

What is the Prime Factorization of 3340?

Answer: Prime Factors of 3340: 2, 2, 5, 167

or

22 × 5 × 167

Explanation of number 3340 Prime Factorization

Prime Factorization of 3340 it is expressing 3340 as the product of prime factors. In other words it is finding which prime numbers should be multiplied together to make 3340.

Since number 3340 is a Composite number (not Prime) we can do its Prime Factorization.

To get a list of all Prime Factors of 3340, we have to iteratively divide 3340 by the smallest prime number possible until the result equals 1.

Here is the complete solution of finding Prime Factors of 3340:

The smallest Prime Number which can divide 3340 without a remainder is 2. So the first calculation step would look like:

3340 ÷ 2 = 1670

Now we repeat this action until the result equals 1:

1670 ÷ 2 = 835

835 ÷ 5 = 167

167 ÷ 167 = 1

Now we have all the Prime Factors for number 3340. It is: 2, 2, 5, 167

Or you may also write it in exponential form: 22 × 5 × 167

Related Calculations

Prime Factorization Table

NumberPrime Factors
332552 × 7 × 19
33262, 1663
33273, 1109
332828 × 13
33293329
2 × 32 × 5 × 37
33313331
333222 × 72 × 17
33333, 11, 101
33342, 1667
33355, 23, 29
333623 × 3 × 139
333747, 71
33382, 1669
333932 × 7 × 53
334022 × 5 × 167
334113, 257
33422, 3, 557
33433343
334424 × 11 × 19
33453, 5, 223
33462, 7, 239
33473347
334822 × 33 × 31
334917, 197
33502 × 52 × 67
33513, 1117
335223 × 419
33537, 479
33542, 3, 13, 43

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 3340? (The answer is: 2, 2, 5, 167). Pick the number for factorization (e.g. '3340'). 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 3340?

Prime Factors of 3340: 2, 2, 5, 167

How many prime factors does 3340 have?

Number 3340 has 4 Prime Factors

What is the Prime Factorization of 3340 in exponential form?

The Prime Factorization of the number 3340 in the exponential form is: 22 × 5 × 167