Prime Factorization of 46

What is the Prime Factorization of 46?

Answer: Prime Factors of 46: 2, 23

Explanation of number 46 Prime Factorization

Prime Factorization of 46 it is expressing 46 as the product of prime factors. In other words it is finding which prime numbers should be multiplied together to make 46.

Since number 46 is a Composite number (not Prime) we can do its Prime Factorization.

To get a list of all Prime Factors of 46, we have to iteratively divide 46 by the smallest prime number possible until the result equals 1.

Here is the complete solution of finding Prime Factors of 46:

The smallest Prime Number which can divide 46 without a remainder is 2. So the first calculation step would look like:

46 ÷ 2 = 23

Now we repeat this action until the result equals 1:

23 ÷ 23 = 1

Now we have all the Prime Factors for number 46. It is: 2, 23

Prime Factor Tree of 46

We may also express the prime factorization of 46 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 46? (The answer is: 2, 23). Pick the number for factorization (e.g. '46'). 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
31
25
3, 11
2, 17
5, 7
22 × 32
37
2, 19
3, 13
23 × 5
41
2, 3, 7
43
22 × 11
32 × 5
2, 23
47
24 × 3
72
2 × 52
3, 17
22 × 13
53
2 × 33
5, 11
23 × 7
3, 19
2, 29
59
22 × 3 × 5

FAQ

What is the Prime Factorization of 46?

Prime Factors of 46: 2, 23

How many prime factors does 46 have?

Number 46 has 2 Prime Factors