Prime Factorization of 145

What is the Prime Factorization of 145?

Answer: Prime Factors of 145: 5, 29

Explanation of number 145 Prime Factorization

Prime Factorization of 145 it is expressing 145 as the product of prime factors. In other words it is finding which prime numbers should be multiplied together to make 145.

Since number 145 is a Composite number (not Prime) we can do its Prime Factorization.

To get a list of all Prime Factors of 145, we have to iteratively divide 145 by the smallest prime number possible until the result equals 1.

Here is the complete solution of finding Prime Factors of 145:

The smallest Prime Number which can divide 145 without a remainder is 5. So the first calculation step would look like:

145 ÷ 5 = 29

Now we repeat this action until the result equals 1:

29 ÷ 29 = 1

Now we have all the Prime Factors for number 145. It is: 5, 29

Prime Factor Tree of 145

We may also express the prime factorization of 145 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 145? (The answer is: 5, 29). Pick the number for factorization (e.g. '145'). 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
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
157
2, 79
3, 53

FAQ

What is the Prime Factorization of 145?

Prime Factors of 145: 5, 29

How many prime factors does 145 have?

Number 145 has 2 Prime Factors