Prime Factorization of 78

What is the Prime Factorization of 78?

Answer: Prime Factors of 78: 2, 3, 13

Explanation of number 78 Prime Factorization

Prime Factorization of 78 it is expressing 78 as the product of prime factors. In other words it is finding which prime numbers should be multiplied together to make 78.

Since number 78 is a Composite number (not Prime) we can do its Prime Factorization.

To get a list of all Prime Factors of 78, we have to iteratively divide 78 by the smallest prime number possible until the result equals 1.

Here is the complete solution of finding Prime Factors of 78:

The smallest Prime Number which can divide 78 without a remainder is 2. So the first calculation step would look like:

78 ÷ 2 = 39

Now we repeat this action until the result equals 1:

39 ÷ 3 = 13

13 ÷ 13 = 1

Now we have all the Prime Factors for number 78. It is: 2, 3, 13

Prime Factor Tree of 78

We may also express the prime factorization of 78 as a Factor Tree:

Prime factors of 78 factorization tree of 78

Prime Factorization Table

NumberPrime Factors
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
22 × 3 × 7
5, 17
2, 43
3, 29
23 × 11
89
2 × 32 × 5
7, 13
22 × 23

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 78? (The answer is: 2, 3, 13). Pick the number for factorization (e.g. '78'). 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 78?

Prime Factors of 78: 2, 3, 13

How many prime factors does 78 have?

Number 78 has 3 Prime Factors