Prime Factorization of 770

What is the Prime Factorization of 770?

Answer: Prime Factors of 770: 2, 5, 7, 11

Explanation of number 770 Prime Factorization

Prime Factorization of 770 it is expressing 770 as the product of prime factors. In other words it is finding which prime numbers should be multiplied together to make 770.

Since number 770 is a Composite number (not Prime) we can do its Prime Factorization.

To get a list of all Prime Factors of 770, we have to iteratively divide 770 by the smallest prime number possible until the result equals 1.

Here is the complete solution of finding Prime Factors of 770:

The smallest Prime Number which can divide 770 without a remainder is 2. So the first calculation step would look like:

770 ÷ 2 = 385

Now we repeat this action until the result equals 1:

385 ÷ 5 = 77

77 ÷ 7 = 11

11 ÷ 11 = 1

Now we have all the Prime Factors for number 770. It is: 2, 5, 7, 11

Prime Factor Tree of 770

We may also express the prime factorization of 770 as a Factor Tree:

Prime factors of 770 factorization tree of 770

Related Calculations

Prime Factorization Table

NumberPrime Factors
7555, 151
22 × 33 × 7
757
7582, 379
3, 11, 23
23 × 5 × 19
761
2, 3, 127
7637, 109
22 × 191
32 × 5 × 17
7662, 383
13, 59
28 × 3
769
2, 5, 7, 11
7713, 257
22 × 193
773773
2 × 32 × 43
77552 × 31
23 × 97
3, 7, 37
2, 389
19, 41
22 × 3 × 5 × 13
78111, 71
2, 17, 23
33 × 29
24 × 72

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 770? (The answer is: 2, 5, 7, 11). Pick the number for factorization (e.g. '770'). 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 770?

Prime Factors of 770: 2, 5, 7, 11

How many prime factors does 770 have?

Number 770 has 4 Prime Factors