Prime Factorization of 825

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Prime Factors of

What is the Prime Factorization of 825?

Answer: Prime Factors of 825: 3, 5, 5, 11

or

3 × 52 × 11

Explanation of number 825 Prime Factorization

Prime Factorization of 825 it is expressing 825 as the product of prime factors. In other words it is finding which prime numbers should be multiplied together to make 825.

Since number 825 is a Composite number (not Prime) we can do its Prime Factorization.

To get a list of all Prime Factors of 825, we have to iteratively divide 825 by the smallest prime number possible until the result equals 1.

Here is the complete solution of finding Prime Factors of 825:

The smallest Prime Number which can divide 825 without a remainder is 3. So the first calculation step would look like:

825 ÷ 3 = 275

Now we repeat this action until the result equals 1:

275 ÷ 5 = 55

55 ÷ 5 = 11

11 ÷ 11 = 1

Now we have all the Prime Factors for number 825. It is: 3, 5, 5, 11

Or you may also write it in exponential form: 3 × 52 × 11

Prime Factor Tree of 825

We may also express the prime factorization of 825 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 825? (The answer is: 3, 5, 5, 11). Pick the number for factorization (e.g. '825'). After that hit the 'Calculate' button.
Prime factors are the positive integers having only two factors - 1 and the number itself

"Prime Factorization" Calculator

Prime Factors of

Prime Factorization Table

NumberPrime Factors
8102 × 34 × 5
811811
81222 × 7 × 29
8133, 271
8142, 11, 37
8155, 163
81624 × 3 × 17
81719, 43
8182, 409
81932 × 7 × 13
82022 × 5 × 41
821821
8222, 3, 137
823823
82423 × 103
8253 × 52 × 11
8262, 7, 59
827827
82822 × 32 × 23
829829
8302, 5, 83
8313, 277
83226 × 13
83372 × 17
8342, 3, 139
8355, 167
83622 × 11 × 19
83733 × 31
8382, 419
839839

FAQ

What is the Prime Factorization of 825?

Prime Factors of 825: 3, 5, 5, 11

How many prime factors does 825 have?

Number 825 has 4 Prime Factors

What is the Prime Factorization of 825 in exponential form?

The Prime Factorization of the number 825 in the exponential form is: 3 × 52 × 11

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