Prime Factorization of 510

What is the Prime Factorization of 510?

Answer: Prime Factors of 510: 2, 3, 5, 17

Explanation of number 510 Prime Factorization

Prime Factorization of 510 it is expressing 510 as the product of prime factors. In other words it is finding which prime numbers should be multiplied together to make 510.

Since number 510 is a Composite number (not Prime) we can do its Prime Factorization.

To get a list of all Prime Factors of 510, we have to iteratively divide 510 by the smallest prime number possible until the result equals 1.

Here is the complete solution of finding Prime Factors of 510:

The smallest Prime Number which can divide 510 without a remainder is 2. So the first calculation step would look like:

510 ÷ 2 = 255

Now we repeat this action until the result equals 1:

255 ÷ 3 = 85

85 ÷ 5 = 17

17 ÷ 17 = 1

Now we have all the Prime Factors for number 510. It is: 2, 3, 5, 17

Prime Factor Tree of 510

We may also express the prime factorization of 510 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 510? (The answer is: 2, 3, 5, 17). Pick the number for factorization (e.g. '510'). 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
32 × 5 × 11
24 × 31
7, 71
4982, 3, 83
499
22 × 53
3, 167
5022, 251
503
23 × 32 × 7
5, 101
2, 11, 23
3 × 132
22 × 127
509
2, 3, 5, 17
7, 73
29
33 × 19
2, 257
5, 103
22 × 3 × 43
11, 47
2, 7, 37
5193, 173
23 × 5 × 13
521
2 × 32 × 29
523
22 × 131

FAQ

What is the Prime Factorization of 510?

Prime Factors of 510: 2, 3, 5, 17

How many prime factors does 510 have?

Number 510 has 4 Prime Factors