Prime Factorization of 3390

What is the Prime Factorization of 3390?

Answer: Prime Factors of 3390: 2, 3, 5, 113

Explanation of number 3390 Prime Factorization

Prime Factorization of 3390 it is expressing 3390 as the product of prime factors. In other words it is finding which prime numbers should be multiplied together to make 3390.

Since number 3390 is a Composite number (not Prime) we can do its Prime Factorization.

To get a list of all Prime Factors of 3390, we have to iteratively divide 3390 by the smallest prime number possible until the result equals 1.

Here is the complete solution of finding Prime Factors of 3390:

The smallest Prime Number which can divide 3390 without a remainder is 2. So the first calculation step would look like:

3390 ÷ 2 = 1695

Now we repeat this action until the result equals 1:

1695 ÷ 3 = 565

565 ÷ 5 = 113

113 ÷ 113 = 1

Now we have all the Prime Factors for number 3390. It is: 2, 3, 5, 113

Prime Factorization Table

NumberPrime Factors
33 × 53
337624 × 211
337711, 307
33782, 3, 563
337931, 109
22 × 5 × 132
33813 × 72 × 23
33822, 19, 89
338317, 199
338423 × 32 × 47
33855, 677
33862, 1693
33873, 1129
338822 × 7 × 112
33893389
33902, 3, 5, 113
33913391
339226 × 53
339332 × 13 × 29
33942, 1697
33955, 7, 97
339622 × 3 × 283
339743, 79
33982, 1699
33993, 11, 103
23 × 52 × 17
340119, 179
34022 × 35 × 7
340341, 83
340422 × 23 × 37

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 3390? (The answer is: 2, 3, 5, 113). Pick the number for factorization (e.g. '3390'). 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 3390?

Prime Factors of 3390: 2, 3, 5, 113

How many prime factors does 3390 have?

Number 3390 has 4 Prime Factors