Prime Factorization of 672

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Prime Factors of

What is the Prime Factorization of 672?

Answer: Prime Factors of 672: 2, 2, 2, 2, 2, 3, 7

or

25 × 3 × 7

Explanation of number 672 Prime Factorization

Prime Factorization of 672 it is expressing 672 as the product of prime factors. In other words it is finding which prime numbers should be multiplied together to make 672.

Since number 672 is a Composite number (not Prime) we can do its Prime Factorization.

To get a list of all Prime Factors of 672, we have to iteratively divide 672 by the smallest prime number possible until the result equals 1.

Here is the complete solution of finding Prime Factors of 672:

The smallest Prime Number which can divide 672 without a remainder is 2. So the first calculation step would look like:

672 ÷ 2 = 336

Now we repeat this action until the result equals 1:

336 ÷ 2 = 168

168 ÷ 2 = 84

84 ÷ 2 = 42

42 ÷ 2 = 21

21 ÷ 3 = 7

7 ÷ 7 = 1

Now we have all the Prime Factors for number 672. It is: 2, 2, 2, 2, 2, 3, 7

Or you may also write it in exponential form: 25 × 3 × 7

Prime Factor Tree of 672

We may also express the prime factorization of 672 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 672? (The answer is: 2, 2, 2, 2, 2, 3, 7). Pick the number for factorization (e.g. '672'). 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
65732 × 73
6582, 7, 47
659659
66022 × 3 × 5 × 11
661661
6622, 331
6633, 13, 17
66423 × 83
6655, 7, 19
6662 × 32 × 37
66723, 29
66822 × 167
6693, 223
6702, 5, 67
67111, 61
67225 × 3 × 7
673673
6742, 337
67533 × 52
67622 × 132
677677
6782, 3, 113
6797, 97
68023 × 5 × 17
6813, 227
6822, 11, 31
683683
68422 × 32 × 19
6855, 137
6862 × 73

FAQ

What is the Prime Factorization of 672?

Prime Factors of 672: 2, 2, 2, 2, 2, 3, 7

How many prime factors does 672 have?

Number 672 has 7 Prime Factors

What is the Prime Factorization of 672 in exponential form?

The Prime Factorization of the number 672 in the exponential form is: 25 × 3 × 7

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