Prime Factorization of 177

What is the Prime Factorization of 177?

Answer: Prime Factors of 177: 3, 59

Explanation of number 177 Prime Factorization

Prime Factorization of 177 it is expressing 177 as the product of prime factors. In other words it is finding which prime numbers should be multiplied together to make 177.

Since number 177 is a Composite number (not Prime) we can do its Prime Factorization.

To get a list of all Prime Factors of 177, we have to iteratively divide 177 by the smallest prime number possible until the result equals 1.

Here is the complete solution of finding Prime Factors of 177:

The smallest Prime Number which can divide 177 without a remainder is 3. So the first calculation step would look like:

177 ÷ 3 = 59

Now we repeat this action until the result equals 1:

59 ÷ 59 = 1

Now we have all the Prime Factors for number 177. It is: 3, 59

Prime Factor Tree of 177

We may also express the prime factorization of 177 as a Factor Tree:

Prime factors of 177 factorization tree of 177

Prime Factorization Table

NumberPrime Factors
2 × 34
163
22 × 41
3, 5, 11
2, 83
167
23 × 3 × 7
132
2, 5, 17
32 × 19
22 × 43
173
2, 3, 29
52 × 7
24 × 11
3, 59
2, 89
179
22 × 32 × 5
181
2, 7, 13
3, 61
23 × 23
5, 37
2, 3, 31
11, 17
22 × 47
33 × 7
2, 5, 19
191

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 177? (The answer is: 3, 59). Pick the number for factorization (e.g. '177'). 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 177?

Prime Factors of 177: 3, 59

How many prime factors does 177 have?

Number 177 has 2 Prime Factors