# Prime Factorization of 366

## What is the Prime Factorization of 366?

Answer: Prime Factors of 366: 2, 3, 61

## Explanation of number 366 Prime Factorization

Prime Factorization of 366 it is expressing 366 as the product of prime factors. In other words it is finding which prime numbers should be multiplied together to make 366.

Since number 366 is a Composite number (not Prime) we can do its Prime Factorization.

To get a list of all Prime Factors of 366, we have to iteratively divide 366 by the smallest prime number possible until the result equals 1.

Here is the complete solution of finding Prime Factors of 366:

The smallest Prime Number which can divide 366 without a remainder is 2. So the first calculation step would look like:

366 ÷ 2 = 183

Now we repeat this action until the result equals 1:

183 ÷ 3 = 61

61 ÷ 61 = 1

Now we have all the Prime Factors for number 366. It is: 2, 3, 61

## Prime Factor Tree of 366

We may also express the prime factorization of 366 as a Factor Tree:

## Prime Factorization Table

NumberPrime Factors
33 × 13
25 × 11
353
2, 3, 59
3555, 71
22 × 89
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

`Prime factors are the positive integers having only two factors - 1 and the number itself`