Prime Factorization of 1029

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Prime Factors of

What is the Prime Factorization of 1029?

Answer: Prime Factors of 1029: 3, 7, 7, 7

or

3 × 73

Explanation of number 1029 Prime Factorization

Prime Factorization of 1029 it is expressing 1029 as the product of prime factors. In other words it is finding which prime numbers should be multiplied together to make 1029.

Since number 1029 is a Composite number (not Prime) we can do its Prime Factorization.

To get a list of all Prime Factors of 1029, we have to iteratively divide 1029 by the smallest prime number possible until the result equals 1.

Here is the complete solution of finding Prime Factors of 1029:

The smallest Prime Number which can divide 1029 without a remainder is 3. So the first calculation step would look like:

1029 ÷ 3 = 343

Now we repeat this action until the result equals 1:

343 ÷ 7 = 49

49 ÷ 7 = 7

7 ÷ 7 = 1

Now we have all the Prime Factors for number 1029. It is: 3, 7, 7, 7

Or you may also write it in exponential form: 3 × 73

Prime Factor Tree of 1029

We may also express the prime factorization of 1029 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 1029? (The answer is: 3, 7, 7, 7). Pick the number for factorization (e.g. '1029'). 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
10142 × 3 × 132
10155, 7, 29
101623 × 127
101732 × 113
10182, 509
10191019
102022 × 3 × 5 × 17
10211021
10222, 7, 73
10233, 11, 31
1024210
102552 × 41
10262 × 33 × 19
102713, 79
102822 × 257
10293 × 73
10302, 5, 103
10311031
103223 × 3 × 43
10331033
10342, 11, 47
103532 × 5 × 23
103622 × 7 × 37
103717, 61
10382, 3, 173
10391039
104024 × 5 × 13
10413, 347
10422, 521
10437, 149

FAQ

What is the Prime Factorization of 1029?

Prime Factors of 1029: 3, 7, 7, 7

How many prime factors does 1029 have?

Number 1029 has 4 Prime Factors

What is the Prime Factorization of 1029 in exponential form?

The Prime Factorization of the number 1029 in the exponential form is: 3 × 73

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