Prime Factorization of 274

What is the Prime Factorization of 274?

Answer: Prime Factors of 274: 2, 137

Explanation of number 274 Prime Factorization

Prime Factorization of 274 it is expressing 274 as the product of prime factors. In other words it is finding which prime numbers should be multiplied together to make 274.

Since number 274 is a Composite number (not Prime) we can do its Prime Factorization.

To get a list of all Prime Factors of 274, we have to iteratively divide 274 by the smallest prime number possible until the result equals 1.

Here is the complete solution of finding Prime Factors of 274:

The smallest Prime Number which can divide 274 without a remainder is 2. So the first calculation step would look like:

274 ÷ 2 = 137

Now we repeat this action until the result equals 1:

137 ÷ 137 = 1

Now we have all the Prime Factors for number 274. It is: 2, 137

Prime Factor Tree of 274

We may also express the prime factorization of 274 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 274? (The answer is: 2, 137). Pick the number for factorization (e.g. '274'). 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
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
23 × 5 × 7
281
2, 3, 47
283
22 × 71
3, 5, 19
2, 11, 13
7, 41
25 × 32

FAQ

What is the Prime Factorization of 274?

Prime Factors of 274: 2, 137

How many prime factors does 274 have?

Number 274 has 2 Prime Factors