Prime Factorization of 189

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Prime Factors of

What is the Prime Factorization of 189?

Answer: Prime Factors of 189: 3, 3, 3, 7

or

33 × 7

Explanation of number 189 Prime Factorization

Prime Factorization of 189 it is expressing 189 as the product of prime factors. In other words it is finding which prime numbers should be multiplied together to make 189.

Since number 189 is a Composite number (not Prime) we can do its Prime Factorization.

To get a list of all Prime Factors of 189, we have to iteratively divide 189 by the smallest prime number possible until the result equals 1.

Here is the complete solution of finding Prime Factors of 189:

The smallest Prime Number which can divide 189 without a remainder is 3. So the first calculation step would look like:

189 ÷ 3 = 63

Now we repeat this action until the result equals 1:

63 ÷ 3 = 21

21 ÷ 3 = 7

7 ÷ 7 = 1

Now we have all the Prime Factors for number 189. It is: 3, 3, 3, 7

Or you may also write it in exponential form: 33 × 7

Prime Factor Tree of 189

We may also express the prime factorization of 189 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 189? (The answer is: 3, 3, 3, 7). Pick the number for factorization (e.g. '189'). 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
1742, 3, 29
17552 × 7
17624 × 11
1773, 59
1782, 89
179179
18022 × 32 × 5
181181
1822, 7, 13
1833, 61
18423 × 23
1855, 37
1862, 3, 31
18711, 17
18822 × 47
18933 × 7
1902, 5, 19
191191
19226 × 3
193193
1942, 97
1953, 5, 13
19622 × 72
197197
1982 × 32 × 11
199199
20023 × 52
2013, 67
2022, 101
2037, 29

FAQ

What is the Prime Factorization of 189?

Prime Factors of 189: 3, 3, 3, 7

How many prime factors does 189 have?

Number 189 has 4 Prime Factors

What is the Prime Factorization of 189 in exponential form?

The Prime Factorization of the number 189 in the exponential form is: 33 × 7

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