Prime Factorization of 376

What is the Prime Factorization of 376?

Answer: Prime Factors of 376: 2, 2, 2, 47

or

23 × 47

Explanation of number 376 Prime Factorization

Prime Factorization of 376 it is expressing 376 as the product of prime factors. In other words it is finding which prime numbers should be multiplied together to make 376.

Since number 376 is a Composite number (not Prime) we can do its Prime Factorization.

To get a list of all Prime Factors of 376, we have to iteratively divide 376 by the smallest prime number possible until the result equals 1.

Here is the complete solution of finding Prime Factors of 376:

The smallest Prime Number which can divide 376 without a remainder is 2. So the first calculation step would look like:

376 ÷ 2 = 188

Now we repeat this action until the result equals 1:

188 ÷ 2 = 94

94 ÷ 2 = 47

47 ÷ 47 = 1

Now we have all the Prime Factors for number 376. It is: 2, 2, 2, 47

Or you may also write it in exponential form: 23 × 47

Prime Factor Tree of 376

We may also express the prime factorization of 376 as a Factor Tree:

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 376? (The answer is: 2, 2, 2, 47). Pick the number for factorization (e.g. '376'). After that hit the 'Calculate' button.
Prime factors are the positive integers having only two factors - 1 and the number itself

Prime Factorization Table

NumberPrime Factors
192
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

FAQ

What is the Prime Factorization of 376?

Prime Factors of 376: 2, 2, 2, 47

How many prime factors does 376 have?

Number 376 has 4 Prime Factors

What is the Prime Factorization of 376 in exponential form?

The Prime Factorization of the number 376 in the exponential form is: 23 × 47