Prime Factorization of 372

What is the Prime Factorization of 372?

Answer: Prime Factors of 372: 2, 2, 3, 31

or

22 × 3 × 31

Explanation of number 372 Prime Factorization

Prime Factorization of 372 it is expressing 372 as the product of prime factors. In other words it is finding which prime numbers should be multiplied together to make 372.

Since number 372 is a Composite number (not Prime) we can do its Prime Factorization.

To get a list of all Prime Factors of 372, we have to iteratively divide 372 by the smallest prime number possible until the result equals 1.

Here is the complete solution of finding Prime Factors of 372:

The smallest Prime Number which can divide 372 without a remainder is 2. So the first calculation step would look like:

372 ÷ 2 = 186

Now we repeat this action until the result equals 1:

186 ÷ 2 = 93

93 ÷ 3 = 31

31 ÷ 31 = 1

Now we have all the Prime Factors for number 372. It is: 2, 2, 3, 31

Or you may also write it in exponential form: 22 × 3 × 31

Prime Factor Tree of 372

We may also express the prime factorization of 372 as a Factor Tree:

See Also

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 372? (The answer is: 2, 2, 3, 31). Pick the number for factorization (e.g. '372'). 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
3, 7, 17
2, 179
359
23 × 32 × 5
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

FAQ

What is the Prime Factorization of 372?

Prime Factors of 372: 2, 2, 3, 31

How many prime factors does 372 have?

Number 372 has 4 Prime Factors

What is the Prime Factorization of 372 in exponential form?

The Prime Factorization of the number 372 in the exponential form is: 22 × 3 × 31