Prime Factorization of 377

What is the Prime Factorization of 377?

Answer: Prime Factors of 377: 13, 29

Explanation of number 377 Prime Factorization

Prime Factorization of 377 it is expressing 377 as the product of prime factors. In other words it is finding which prime numbers should be multiplied together to make 377.

Since number 377 is a Composite number (not Prime) we can do its Prime Factorization.

To get a list of all Prime Factors of 377, we have to iteratively divide 377 by the smallest prime number possible until the result equals 1.

Here is the complete solution of finding Prime Factors of 377:

The smallest Prime Number which can divide 377 without a remainder is 13. So the first calculation step would look like:

377 ÷ 13 = 29

Now we repeat this action until the result equals 1:

29 ÷ 29 = 1

Now we have all the Prime Factors for number 377. It is: 13, 29

Prime Factor Tree of 377

We may also express the prime factorization of 377 as a Factor Tree:

Prime factors of 377 factorization tree of 377

Prime Factorization Table

NumberPrime Factors
2, 181
3 × 112
22 × 7 × 13
5, 73
2, 3, 61
367
24 × 23
32 × 41
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

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 377? (The answer is: 13, 29). Pick the number for factorization (e.g. '377'). 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 377?

Prime Factors of 377: 13, 29

How many prime factors does 377 have?

Number 377 has 2 Prime Factors