Prime Factorization of 40

What is the Prime Factorization of 40?

Answer: Prime Factors of 40: 2, 2, 2, 5

or

23 × 5

Explanation of number 40 Prime Factorization

Prime Factorization of 40 it is expressing 40 as the product of prime factors. In other words it is finding which prime numbers should be multiplied together to make 40.

Since number 40 is a Composite number (not Prime) we can do its Prime Factorization.

To get a list of all Prime Factors of 40, we have to iteratively divide 40 by the smallest prime number possible until the result equals 1.

Here is the complete solution of finding Prime Factors of 40:

The smallest Prime Number which can divide 40 without a remainder is 2. So the first calculation step would look like:

40 ÷ 2 = 20

Now we repeat this action until the result equals 1:

20 ÷ 2 = 10

10 ÷ 2 = 5

5 ÷ 5 = 1

Now we have all the Prime Factors for number 40. It is: 2, 2, 2, 5

Or you may also write it in exponential form: 23 × 5

Prime Factor Tree of 40

We may also express the prime factorization of 40 as a Factor Tree:

Prime factors of 40 factorization tree of 40

Prime Factorization Table

NumberPrime Factors
52
2, 13
33
22 × 7
29
2, 3, 5
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

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 40? (The answer is: 2, 2, 2, 5). Pick the number for factorization (e.g. '40'). 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 40?

Prime Factors of 40: 2, 2, 2, 5

How many prime factors does 40 have?

Number 40 has 4 Prime Factors

What is the Prime Factorization of 40 in exponential form?

The Prime Factorization of the number 40 in the exponential form is: 23 × 5