Prime Factorization of 335

What is the Prime Factorization of 335?

Answer: Prime Factors of 335: 5, 67

Explanation of number 335 Prime Factorization

Prime Factorization of 335 it is expressing 335 as the product of prime factors. In other words it is finding which prime numbers should be multiplied together to make 335.

Since number 335 is a Composite number (not Prime) we can do its Prime Factorization.

To get a list of all Prime Factors of 335, we have to iteratively divide 335 by the smallest prime number possible until the result equals 1.

Here is the complete solution of finding Prime Factors of 335:

The smallest Prime Number which can divide 335 without a remainder is 5. So the first calculation step would look like:

335 ÷ 5 = 67

Now we repeat this action until the result equals 1:

67 ÷ 67 = 1

Now we have all the Prime Factors for number 335. It is: 5, 67

Prime Factor Tree of 335

We may also express the prime factorization of 335 as a Factor Tree:

Prime factors of 335 factorization tree of 335

Prime Factorization Table

NumberPrime Factors
26 × 5
3, 107
2, 7, 23
17, 19
22 × 34
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

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 335? (The answer is: 5, 67). Pick the number for factorization (e.g. '335'). 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 335?

Prime Factors of 335: 5, 67

How many prime factors does 335 have?

Number 335 has 2 Prime Factors