Prime Factorization of 51

What is the Prime Factorization of 51?

Answer: Prime Factors of 51: 3, 17

Explanation of number 51 Prime Factorization

Prime Factorization of 51 it is expressing 51 as the product of prime factors. In other words it is finding which prime numbers should be multiplied together to make 51.

Since number 51 is a Composite number (not Prime) we can do its Prime Factorization.

To get a list of all Prime Factors of 51, we have to iteratively divide 51 by the smallest prime number possible until the result equals 1.

Here is the complete solution of finding Prime Factors of 51:

The smallest Prime Number which can divide 51 without a remainder is 3. So the first calculation step would look like:

51 ÷ 3 = 17

Now we repeat this action until the result equals 1:

17 ÷ 17 = 1

Now we have all the Prime Factors for number 51. It is: 3, 17

Prime Factor Tree of 51

We may also express the prime factorization of 51 as a Factor Tree:

Prime factors of 51 factorization tree of 51

Prime Factorization Table

NumberPrime Factors
22 × 32
37
2, 19
3, 13
23 × 5
41
2, 3, 7
43
22 × 11
32 × 5
2, 23
47
24 × 3
72
2 × 52
3, 17
22 × 13
53
2 × 33
5, 11
23 × 7
3, 19
2, 29
59
22 × 3 × 5
61
2, 31
32 × 7
26
5, 13

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 51? (The answer is: 3, 17). Pick the number for factorization (e.g. '51'). 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 51?

Prime Factors of 51: 3, 17

How many prime factors does 51 have?

Number 51 has 2 Prime Factors