Prime Factorization of 77

What is the Prime Factorization of 77?

Answer: Prime Factors of 77: 7, 11

Explanation of number 77 Prime Factorization

Prime Factorization of 77 it is expressing 77 as the product of prime factors. In other words it is finding which prime numbers should be multiplied together to make 77.

Since number 77 is a Composite number (not Prime) we can do its Prime Factorization.

To get a list of all Prime Factors of 77, we have to iteratively divide 77 by the smallest prime number possible until the result equals 1.

Here is the complete solution of finding Prime Factors of 77:

The smallest Prime Number which can divide 77 without a remainder is 7. So the first calculation step would look like:

77 ÷ 7 = 11

Now we repeat this action until the result equals 1:

11 ÷ 11 = 1

Now we have all the Prime Factors for number 77. It is: 7, 11

Prime Factor Tree of 77

We may also express the prime factorization of 77 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 77? (The answer is: 7, 11). Pick the number for factorization (e.g. '77'). 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, 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
7, 13

FAQ

What is the Prime Factorization of 77?

Prime Factors of 77: 7, 11

How many prime factors does 77 have?

Number 77 has 2 Prime Factors