Prime Factorization of 385

What is the Prime Factorization of 385?

Answer: Prime Factors of 385: 5, 7, 11

Explanation of number 385 Prime Factorization

Prime Factorization of 385 it is expressing 385 as the product of prime factors. In other words it is finding which prime numbers should be multiplied together to make 385.

Since number 385 is a Composite number (not Prime) we can do its Prime Factorization.

To get a list of all Prime Factors of 385, we have to iteratively divide 385 by the smallest prime number possible until the result equals 1.

Here is the complete solution of finding Prime Factors of 385:

The smallest Prime Number which can divide 385 without a remainder is 5. So the first calculation step would look like:

385 ÷ 5 = 77

Now we repeat this action until the result equals 1:

77 ÷ 7 = 11

11 ÷ 11 = 1

Now we have all the Prime Factors for number 385. It is: 5, 7, 11

Prime Factor Tree of 385

We may also express the prime factorization of 385 as a Factor Tree:

Prime factors of 385 factorization tree of 385

Prime Factorization Table

NumberPrime Factors
2, 5, 37
7, 53
22 × 3 × 31
373
2, 11, 17
3 × 53
23 × 47
13, 29
2 × 33 × 7
379
22 × 5 × 19
3, 127
2, 191
383
27 × 3
5, 7, 11
2, 193
32 × 43
22 × 97
389
2, 3, 5, 13
17, 23
23 × 72
3, 131
2, 197
3955, 79
22 × 32 × 11
397
2, 199
3, 7, 19

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 385? (The answer is: 5, 7, 11). Pick the number for factorization (e.g. '385'). 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 385?

Prime Factors of 385: 5, 7, 11

How many prime factors does 385 have?

Number 385 has 3 Prime Factors