Prime Factorization of 42

What is the Prime Factorization of 42?

Answer: Prime Factors of 42: 2, 3, 7

Explanation of number 42 Prime Factorization

Prime Factorization of 42 it is expressing 42 as the product of prime factors. In other words it is finding which prime numbers should be multiplied together to make 42.

Since number 42 is a Composite number (not Prime) we can do its Prime Factorization.

To get a list of all Prime Factors of 42, we have to iteratively divide 42 by the smallest prime number possible until the result equals 1.

Here is the complete solution of finding Prime Factors of 42:

The smallest Prime Number which can divide 42 without a remainder is 2. So the first calculation step would look like:

42 ÷ 2 = 21

Now we repeat this action until the result equals 1:

21 ÷ 3 = 7

7 ÷ 7 = 1

Now we have all the Prime Factors for number 42. It is: 2, 3, 7

Prime Factor Tree of 42

We may also express the prime factorization of 42 as a Factor Tree:

Prime factors of 42 factorization tree of 42

Prime Factorization Table

NumberPrime Factors
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
5, 11
23 × 7

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 42? (The answer is: 2, 3, 7). Pick the number for factorization (e.g. '42'). 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 42?

Prime Factors of 42: 2, 3, 7

How many prime factors does 42 have?

Number 42 has 3 Prime Factors