Prime Factorization of 265

What is the Prime Factorization of 265?

Answer: Prime Factors of 265: 5, 53

Explanation of number 265 Prime Factorization

Prime Factorization of 265 it is expressing 265 as the product of prime factors. In other words it is finding which prime numbers should be multiplied together to make 265.

Since number 265 is a Composite number (not Prime) we can do its Prime Factorization.

To get a list of all Prime Factors of 265, we have to iteratively divide 265 by the smallest prime number possible until the result equals 1.

Here is the complete solution of finding Prime Factors of 265:

The smallest Prime Number which can divide 265 without a remainder is 5. So the first calculation step would look like:

265 ÷ 5 = 53

Now we repeat this action until the result equals 1:

53 ÷ 53 = 1

Now we have all the Prime Factors for number 265. It is: 5, 53

Prime Factor Tree of 265

We may also express the prime factorization of 265 as a Factor Tree:

Prime factors of 265 factorization tree of 265

See Also

Prime Factorization Table

NumberPrime Factors
2 × 53
251
22 × 32 × 7
11, 23
2, 127
3, 5, 17
28
257
2, 3, 43
7, 37
22 × 5 × 13
32 × 29
2, 131
263
23 × 3 × 11
5, 53
2, 7, 19
3, 89
22 × 67
269
2 × 33 × 5
271
24 × 17
3, 7, 13
2, 137
52 × 11
22 × 3 × 23
277
2, 139
32 × 31

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 265? (The answer is: 5, 53). Pick the number for factorization (e.g. '265'). 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 265?

Prime Factors of 265: 5, 53

How many prime factors does 265 have?

Number 265 has 2 Prime Factors