Prime Factorization of 1125

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Prime Factors of

What is the Prime Factorization of 1125?

Answer: Prime Factors of 1125: 3, 3, 5, 5, 5

or

32 × 53

Explanation of number 1125 Prime Factorization

Prime Factorization of 1125 it is expressing 1125 as the product of prime factors. In other words it is finding which prime numbers should be multiplied together to make 1125.

Since number 1125 is a Composite number (not Prime) we can do its Prime Factorization.

To get a list of all Prime Factors of 1125, we have to iteratively divide 1125 by the smallest prime number possible until the result equals 1.

Here is the complete solution of finding Prime Factors of 1125:

The smallest Prime Number which can divide 1125 without a remainder is 3. So the first calculation step would look like:

1125 ÷ 3 = 375

Now we repeat this action until the result equals 1:

375 ÷ 3 = 125

125 ÷ 5 = 25

25 ÷ 5 = 5

5 ÷ 5 = 1

Now we have all the Prime Factors for number 1125. It is: 3, 3, 5, 5, 5

Or you may also write it in exponential form: 32 × 53

Prime Factor Tree of 1125

We may also express the prime factorization of 1125 as a Factor Tree:

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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 1125? (The answer is: 3, 3, 5, 5, 5). Pick the number for factorization (e.g. '1125'). 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
11102, 3, 5, 37
111111, 101
111223 × 139
11133, 7, 53
11142, 557
11155, 223
111622 × 32 × 31
11171117
11182, 13, 43
11193, 373
112025 × 5 × 7
112119, 59
11222, 3, 11, 17
11231123
112422 × 281
112532 × 53
11262, 563
112772 × 23
112823 × 3 × 47
11291129
11302, 5, 113
11313, 13, 29
113222 × 283
113311, 103
11342 × 34 × 7
11355, 227
113624 × 71
11373, 379
11382, 569
113917, 67

FAQ

What is the Prime Factorization of 1125?

Prime Factors of 1125: 3, 3, 5, 5, 5

How many prime factors does 1125 have?

Number 1125 has 5 Prime Factors

What is the Prime Factorization of 1125 in exponential form?

The Prime Factorization of the number 1125 in the exponential form is: 32 × 53

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