Prime Factorization of 1800

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Prime Factors of

What is the Prime Factorization of 1800?

Answer: Prime Factors of 1800: 2, 2, 2, 3, 3, 5, 5

or

23 × 32 × 52

Explanation of number 1800 Prime Factorization

Prime Factorization of 1800 it is expressing 1800 as the product of prime factors. In other words it is finding which prime numbers should be multiplied together to make 1800.

Since number 1800 is a Composite number (not Prime) we can do its Prime Factorization.

To get a list of all Prime Factors of 1800, we have to iteratively divide 1800 by the smallest prime number possible until the result equals 1.

Here is the complete solution of finding Prime Factors of 1800:

The smallest Prime Number which can divide 1800 without a remainder is 2. So the first calculation step would look like:

1800 ÷ 2 = 900

Now we repeat this action until the result equals 1:

900 ÷ 2 = 450

450 ÷ 2 = 225

225 ÷ 3 = 75

75 ÷ 3 = 25

25 ÷ 5 = 5

5 ÷ 5 = 1

Now we have all the Prime Factors for number 1800. It is: 2, 2, 2, 3, 3, 5, 5

Or you may also write it in exponential form: 23 × 32 × 52

Prime Factor Tree of 1800

We may also express the prime factorization of 1800 as a Factor Tree:

Related Calculations

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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 1800? (The answer is: 2, 2, 2, 3, 3, 5, 5). Pick the number for factorization (e.g. '1800'). After that hit the 'Calculate' button.
Prime factors are the positive integers having only two factors - 1 and the number itself

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Prime Factors of

Prime Factorization Table

NumberPrime Factors
17853, 5, 7, 17
17862, 19, 47
17871787
178822 × 3 × 149
17891789
17902, 5, 179
179132 × 199
179228 × 7
179311, 163
17942, 3, 13, 23
17955, 359
179622 × 449
17973, 599
17982, 29, 31
17997, 257
180023 × 32 × 52
18011801
18022, 17, 53
18033, 601
180422 × 11 × 41
18055 × 192
18062, 3, 7, 43
180713, 139
180824 × 113
180933 × 67
18102, 5, 181
18111811
181222 × 3 × 151
181372 × 37
18142, 907

FAQ

What is the Prime Factorization of 1800?

Prime Factors of 1800: 2, 2, 2, 3, 3, 5, 5

How many prime factors does 1800 have?

Number 1800 has 7 Prime Factors

What is the Prime Factorization of 1800 in exponential form?

The Prime Factorization of the number 1800 in the exponential form is: 23 × 32 × 52

See Also