Prime Factorization of 1550

What is the Prime Factorization of 1550?

Answer: Prime Factors of 1550: 2, 5, 5, 31

or

2 × 52 × 31

Explanation of number 1550 Prime Factorization

Prime Factorization of 1550 it is expressing 1550 as the product of prime factors. In other words it is finding which prime numbers should be multiplied together to make 1550.

Since number 1550 is a Composite number (not Prime) we can do its Prime Factorization.

To get a list of all Prime Factors of 1550, we have to iteratively divide 1550 by the smallest prime number possible until the result equals 1.

Here is the complete solution of finding Prime Factors of 1550:

The smallest Prime Number which can divide 1550 without a remainder is 2. So the first calculation step would look like:

1550 ÷ 2 = 775

Now we repeat this action until the result equals 1:

775 ÷ 5 = 155

155 ÷ 5 = 31

31 ÷ 31 = 1

Now we have all the Prime Factors for number 1550. It is: 2, 5, 5, 31

Or you may also write it in exponential form: 2 × 52 × 31

Prime Factor Tree of 1550

We may also express the prime factorization of 1550 as a Factor Tree:

Prime factors of 1550 factorization tree of 1550

See Also

Prime Factorization Table

NumberPrime Factors
15355, 307
153629 × 3
153729, 53
15382, 769
153934 × 19
22 × 5 × 7 × 11
154123, 67
15422, 3, 257
15431543
154423 × 193
15453, 5, 103
15462, 773
15477, 13, 17
154822 × 32 × 43
15491549
2 × 52 × 31
15513, 11, 47
155224 × 97
15531553
15542, 3, 7, 37
15555, 311
155622 × 389
155732 × 173
15582, 19, 41
15591559
23 × 3 × 5 × 13
15617, 223
15622, 11, 71
15633, 521
156422 × 17 × 23

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 1550? (The answer is: 2, 5, 5, 31). Pick the number for factorization (e.g. '1550'). 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 1550?

Prime Factors of 1550: 2, 5, 5, 31

How many prime factors does 1550 have?

Number 1550 has 4 Prime Factors

What is the Prime Factorization of 1550 in exponential form?

The Prime Factorization of the number 1550 in the exponential form is: 2 × 52 × 31