Prime Factorization of 775

What is the Prime Factorization of 775?

Answer: Prime Factors of 775: 5, 5, 31

or

52 × 31

Explanation of number 775 Prime Factorization

Prime Factorization of 775 it is expressing 775 as the product of prime factors. In other words it is finding which prime numbers should be multiplied together to make 775.

Since number 775 is a Composite number (not Prime) we can do its Prime Factorization.

To get a list of all Prime Factors of 775, we have to iteratively divide 775 by the smallest prime number possible until the result equals 1.

Here is the complete solution of finding Prime Factors of 775:

The smallest Prime Number which can divide 775 without a remainder is 5. So the first calculation step would look like:

775 ÷ 5 = 155

Now we repeat this action until the result equals 1:

155 ÷ 5 = 31

31 ÷ 31 = 1

Now we have all the Prime Factors for number 775. It is: 5, 5, 31

Or you may also write it in exponential form: 52 × 31

Prime Factor Tree of 775

We may also express the prime factorization of 775 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 775? (The answer is: 5, 5, 31). Pick the number for factorization (e.g. '775'). 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
23 × 5 × 19
761
7622, 3, 127
7, 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
52 × 31
23 × 97
3, 7, 37
2, 389
19, 41
22 × 3 × 5 × 13
78111, 71
2, 17, 23
33 × 29
24 × 72
5, 157
2, 3, 131
787787
78822 × 197
7893, 263

FAQ

What is the Prime Factorization of 775?

Prime Factors of 775: 5, 5, 31

How many prime factors does 775 have?

Number 775 has 3 Prime Factors

What is the Prime Factorization of 775 in exponential form?

The Prime Factorization of the number 775 in the exponential form is: 52 × 31