Prime Factorization of 69

What is the Prime Factorization of 69?

Answer: Prime Factors of 69: 3, 23

Explanation of number 69 Prime Factorization

Prime Factorization of 69 it is expressing 69 as the product of prime factors. In other words it is finding which prime numbers should be multiplied together to make 69.

Since number 69 is a Composite number (not Prime) we can do its Prime Factorization.

To get a list of all Prime Factors of 69, we have to iteratively divide 69 by the smallest prime number possible until the result equals 1.

Here is the complete solution of finding Prime Factors of 69:

The smallest Prime Number which can divide 69 without a remainder is 3. So the first calculation step would look like:

69 ÷ 3 = 23

Now we repeat this action until the result equals 1:

23 ÷ 23 = 1

Now we have all the Prime Factors for number 69. It is: 3, 23

Prime Factor Tree of 69

We may also express the prime factorization of 69 as a Factor Tree:

Prime factors of 69 factorization tree of 69

Prime Factorization Table

NumberPrime Factors
2 × 33
5, 11
23 × 7
3, 19
2, 29
59
22 × 3 × 5
61
2, 31
32 × 7
26
5, 13
2, 3, 11
67
22 × 17
3, 23
2, 5, 7
71
23 × 32
73
2, 37
3 × 52
22 × 19
7, 11
2, 3, 13
79
24 × 5
34
2, 41
83

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 69? (The answer is: 3, 23). Pick the number for factorization (e.g. '69'). 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 69?

Prime Factors of 69: 3, 23

How many prime factors does 69 have?

Number 69 has 2 Prime Factors