Prime Factorization of 550

What is the Prime Factorization of 550?

Answer: Prime Factors of 550: 2, 5, 5, 11

or

2 × 52 × 11

Explanation of number 550 Prime Factorization

Prime Factorization of 550 it is expressing 550 as the product of prime factors. In other words it is finding which prime numbers should be multiplied together to make 550.

Since number 550 is a Composite number (not Prime) we can do its Prime Factorization.

To get a list of all Prime Factors of 550, we have to iteratively divide 550 by the smallest prime number possible until the result equals 1.

Here is the complete solution of finding Prime Factors of 550:

The smallest Prime Number which can divide 550 without a remainder is 2. So the first calculation step would look like:

550 ÷ 2 = 275

Now we repeat this action until the result equals 1:

275 ÷ 5 = 55

55 ÷ 5 = 11

11 ÷ 11 = 1

Now we have all the Prime Factors for number 550. It is: 2, 5, 5, 11

Or you may also write it in exponential form: 2 × 52 × 11

Prime Factor Tree of 550

We may also express the prime factorization of 550 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 550? (The answer is: 2, 5, 5, 11). Pick the number for factorization (e.g. '550'). 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
5, 107
23 × 67
3, 179
5382, 269
72 × 11
22 × 33 × 5
541
2, 271
3, 181
25 × 17
5, 109
2, 3, 7, 13
547
22 × 137
54932 × 61
2 × 52 × 11
19, 29
23 × 3 × 23
7, 79
2, 277
3, 5, 37
22 × 139
557
2 × 32 × 31
13, 43
24 × 5 × 7
3, 11, 17
2, 281
563
22 × 3 × 47

FAQ

What is the Prime Factorization of 550?

Prime Factors of 550: 2, 5, 5, 11

How many prime factors does 550 have?

Number 550 has 4 Prime Factors

What is the Prime Factorization of 550 in exponential form?

The Prime Factorization of the number 550 in the exponential form is: 2 × 52 × 11