Prime Factorization of 76

What is the Prime Factorization of 76?

Answer: Prime Factors of 76: 2, 2, 19

or

22 × 19

Explanation of number 76 Prime Factorization

Prime Factorization of 76 it is expressing 76 as the product of prime factors. In other words it is finding which prime numbers should be multiplied together to make 76.

Since number 76 is a Composite number (not Prime) we can do its Prime Factorization.

To get a list of all Prime Factors of 76, we have to iteratively divide 76 by the smallest prime number possible until the result equals 1.

Here is the complete solution of finding Prime Factors of 76:

The smallest Prime Number which can divide 76 without a remainder is 2. So the first calculation step would look like:

76 ÷ 2 = 38

Now we repeat this action until the result equals 1:

38 ÷ 2 = 19

19 ÷ 19 = 1

Now we have all the Prime Factors for number 76. It is: 2, 2, 19

Or you may also write it in exponential form: 22 × 19

Prime Factor Tree of 76

We may also express the prime factorization of 76 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 76? (The answer is: 2, 2, 19). Pick the number for factorization (e.g. '76'). 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
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
22 × 3 × 7
5, 17
2, 43
3, 29
23 × 11
89
2 × 32 × 5

FAQ

What is the Prime Factorization of 76?

Prime Factors of 76: 2, 2, 19

How many prime factors does 76 have?

Number 76 has 3 Prime Factors

What is the Prime Factorization of 76 in exponential form?

The Prime Factorization of the number 76 in the exponential form is: 22 × 19