Prime Factorization of 247

What is the Prime Factorization of 247?

Answer: Prime Factors of 247: 13, 19

Explanation of number 247 Prime Factorization

Prime Factorization of 247 it is expressing 247 as the product of prime factors. In other words it is finding which prime numbers should be multiplied together to make 247.

Since number 247 is a Composite number (not Prime) we can do its Prime Factorization.

To get a list of all Prime Factors of 247, we have to iteratively divide 247 by the smallest prime number possible until the result equals 1.

Here is the complete solution of finding Prime Factors of 247:

The smallest Prime Number which can divide 247 without a remainder is 13. So the first calculation step would look like:

247 ÷ 13 = 19

Now we repeat this action until the result equals 1:

19 ÷ 19 = 1

Now we have all the Prime Factors for number 247. It is: 13, 19

Prime Factor Tree of 247

We may also express the prime factorization of 247 as a Factor Tree:

Prime factors of 247 factorization tree of 247

Prime Factorization Table

NumberPrime Factors
23 × 29
233
2 × 32 × 13
5, 47
22 × 59
3, 79
2, 7, 17
239
24 × 3 × 5
241
2 × 112
35
22 × 61
5 × 72
2, 3, 41
13, 19
23 × 31
3, 83
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

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 247? (The answer is: 13, 19). Pick the number for factorization (e.g. '247'). 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 247?

Prime Factors of 247: 13, 19

How many prime factors does 247 have?

Number 247 has 2 Prime Factors