Prime Factorization of 142

What is the Prime Factorization of 142?

Answer: Prime Factors of 142: 2, 71

Explanation of number 142 Prime Factorization

Prime Factorization of 142 it is expressing 142 as the product of prime factors. In other words it is finding which prime numbers should be multiplied together to make 142.

Since number 142 is a Composite number (not Prime) we can do its Prime Factorization.

To get a list of all Prime Factors of 142, we have to iteratively divide 142 by the smallest prime number possible until the result equals 1.

Here is the complete solution of finding Prime Factors of 142:

The smallest Prime Number which can divide 142 without a remainder is 2. So the first calculation step would look like:

142 ÷ 2 = 71

Now we repeat this action until the result equals 1:

71 ÷ 71 = 1

Now we have all the Prime Factors for number 142. It is: 2, 71

Prime Factor Tree of 142

We may also express the prime factorization of 142 as a Factor Tree:

Prime factors of 142 factorization tree of 142

Prime Factorization Table

NumberPrime Factors
127
27
3, 43
2, 5, 13
131
22 × 3 × 11
7, 19
2, 67
33 × 5
23 × 17
137
2, 3, 23
139
22 × 5 × 7
3, 47
2, 71
11, 13
24 × 32
5, 29
2, 73
3 × 72
22 × 37
149
2 × 3 × 52
151
23 × 19
32 × 17
2, 7, 11
5, 31
22 × 3 × 13

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 142? (The answer is: 2, 71). Pick the number for factorization (e.g. '142'). 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 142?

Prime Factors of 142: 2, 71

How many prime factors does 142 have?

Number 142 has 2 Prime Factors