Prime Factorization of 2700

What is the Prime Factorization of 2700?

Answer: Prime Factors of 2700: 2, 2, 3, 3, 3, 5, 5

or

22 × 33 × 52

Explanation of number 2700 Prime Factorization

Prime Factorization of 2700 it is expressing 2700 as the product of prime factors. In other words it is finding which prime numbers should be multiplied together to make 2700.

Since number 2700 is a Composite number (not Prime) we can do its Prime Factorization.

To get a list of all Prime Factors of 2700, we have to iteratively divide 2700 by the smallest prime number possible until the result equals 1.

Here is the complete solution of finding Prime Factors of 2700:

The smallest Prime Number which can divide 2700 without a remainder is 2. So the first calculation step would look like:

2700 ÷ 2 = 1350

Now we repeat this action until the result equals 1:

1350 ÷ 2 = 675

675 ÷ 3 = 225

225 ÷ 3 = 75

75 ÷ 3 = 25

25 ÷ 5 = 5

5 ÷ 5 = 1

Now we have all the Prime Factors for number 2700. It is: 2, 2, 3, 3, 3, 5, 5

Or you may also write it in exponential form: 22 × 33 × 52

Prime Factor Tree of 2700

We may also express the prime factorization of 2700 as a Factor Tree:

Related Calculations

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 2700? (The answer is: 2, 2, 3, 3, 3, 5, 5). Pick the number for factorization (e.g. '2700'). 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
26853, 5, 179
26862, 17, 79
26872687
268827 × 3 × 7
26892689
26902, 5, 269
269132 × 13 × 23
269222 × 673
26932693
26942, 3, 449
5 × 72 × 11
269623 × 337
26973, 29, 31
26982, 19, 71
26992699
22 × 33 × 52
270137, 73
27022, 7, 193
27033, 17, 53
270424 × 132
27055, 541
27062, 3, 11, 41
27072707
270822 × 677
270932 × 7 × 43
27102, 5, 271
27112711
271223 × 3 × 113
27132713
27142, 23, 59

FAQ

What is the Prime Factorization of 2700?

Prime Factors of 2700: 2, 2, 3, 3, 3, 5, 5

How many prime factors does 2700 have?

Number 2700 has 7 Prime Factors

What is the Prime Factorization of 2700 in exponential form?

The Prime Factorization of the number 2700 in the exponential form is: 22 × 33 × 52