Prime Factorization of 146

What is the Prime Factorization of 146?

Answer: Prime Factors of 146: 2, 73

Explanation of number 146 Prime Factorization

Prime Factorization of 146 it is expressing 146 as the product of prime factors. In other words it is finding which prime numbers should be multiplied together to make 146.

Since number 146 is a Composite number (not Prime) we can do its Prime Factorization.

To get a list of all Prime Factors of 146, we have to iteratively divide 146 by the smallest prime number possible until the result equals 1.

Here is the complete solution of finding Prime Factors of 146:

The smallest Prime Number which can divide 146 without a remainder is 2. So the first calculation step would look like:

146 ÷ 2 = 73

Now we repeat this action until the result equals 1:

73 ÷ 73 = 1

Now we have all the Prime Factors for number 146. It is: 2, 73

Prime Factor Tree of 146

We may also express the prime factorization of 146 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 146? (The answer is: 2, 73). Pick the number for factorization (e.g. '146'). 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
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
157
2, 79
3, 53
25 × 5

FAQ

What is the Prime Factorization of 146?

Prime Factors of 146: 2, 73

How many prime factors does 146 have?

Number 146 has 2 Prime Factors