Prime Factorization of 2010

What is the Prime Factorization of 2010?

Answer: Prime Factors of 2010: 2, 3, 5, 67

Explanation of number 2010 Prime Factorization

Prime Factorization of 2010 it is expressing 2010 as the product of prime factors. In other words it is finding which prime numbers should be multiplied together to make 2010.

Since number 2010 is a Composite number (not Prime) we can do its Prime Factorization.

To get a list of all Prime Factors of 2010, we have to iteratively divide 2010 by the smallest prime number possible until the result equals 1.

Here is the complete solution of finding Prime Factors of 2010:

The smallest Prime Number which can divide 2010 without a remainder is 2. So the first calculation step would look like:

2010 ÷ 2 = 1005

Now we repeat this action until the result equals 1:

1005 ÷ 3 = 335

335 ÷ 5 = 67

67 ÷ 67 = 1

Now we have all the Prime Factors for number 2010. It is: 2, 3, 5, 67

Prime Factor Tree of 2010

We may also express the prime factorization of 2010 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 2010? (The answer is: 2, 3, 5, 67). Pick the number for factorization (e.g. '2010'). 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
19953, 5, 7, 19
199622 × 499
19971997
2 × 33 × 37
19991999
24 × 53
20013, 23, 29
2, 7, 11, 13
20032003
200422 × 3 × 167
5, 401
20062, 17, 59
200732 × 223
200823 × 251
200972 × 41
2, 3, 5, 67
20112011
201222 × 503
20133, 11, 61
20142, 19, 53
5, 13, 31
201625 × 32 × 7
20172017
20182, 1009
20193, 673
22 × 5 × 101
202143, 47
2, 3, 337
20237 × 172
202423 × 11 × 23

FAQ

What is the Prime Factorization of 2010?

Prime Factors of 2010: 2, 3, 5, 67

How many prime factors does 2010 have?

Number 2010 has 4 Prime Factors