Prime Factorization of 882

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Prime Factors of

What is the Prime Factorization of 882?

Answer: Prime Factors of 882: 2, 3, 3, 7, 7

or

2 × 32 × 72

Explanation of number 882 Prime Factorization

Prime Factorization of 882 it is expressing 882 as the product of prime factors. In other words it is finding which prime numbers should be multiplied together to make 882.

Since number 882 is a Composite number (not Prime) we can do its Prime Factorization.

To get a list of all Prime Factors of 882, we have to iteratively divide 882 by the smallest prime number possible until the result equals 1.

Here is the complete solution of finding Prime Factors of 882:

The smallest Prime Number which can divide 882 without a remainder is 2. So the first calculation step would look like:

882 ÷ 2 = 441

Now we repeat this action until the result equals 1:

441 ÷ 3 = 147

147 ÷ 3 = 49

49 ÷ 7 = 7

7 ÷ 7 = 1

Now we have all the Prime Factors for number 882. It is: 2, 3, 3, 7, 7

Or you may also write it in exponential form: 2 × 32 × 72

Prime Factor Tree of 882

We may also express the prime factorization of 882 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 882? (The answer is: 2, 3, 3, 7, 7). Pick the number for factorization (e.g. '882'). 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
8673 × 172
86822 × 7 × 31
86911, 79
8702, 3, 5, 29
87113, 67
87223 × 109
87332 × 97
8742, 19, 23
87553 × 7
87622 × 3 × 73
877877
8782, 439
8793, 293
88024 × 5 × 11
881881
8822 × 32 × 72
883883
88422 × 13 × 17
8853, 5, 59
8862, 443
887887
88823 × 3 × 37
8897, 127
8902, 5, 89
89134 × 11
89222 × 223
89319, 47
8942, 3, 149
8955, 179
89627 × 7

FAQ

What is the Prime Factorization of 882?

Prime Factors of 882: 2, 3, 3, 7, 7

How many prime factors does 882 have?

Number 882 has 5 Prime Factors

What is the Prime Factorization of 882 in exponential form?

The Prime Factorization of the number 882 in the exponential form is: 2 × 32 × 72

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