Prime Factorization of 648

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Prime Factors of

What is the Prime Factorization of 648?

Answer: Prime Factors of 648: 2, 2, 2, 3, 3, 3, 3

or

23 × 34

Explanation of number 648 Prime Factorization

Prime Factorization of 648 it is expressing 648 as the product of prime factors. In other words it is finding which prime numbers should be multiplied together to make 648.

Since number 648 is a Composite number (not Prime) we can do its Prime Factorization.

To get a list of all Prime Factors of 648, we have to iteratively divide 648 by the smallest prime number possible until the result equals 1.

Here is the complete solution of finding Prime Factors of 648:

The smallest Prime Number which can divide 648 without a remainder is 2. So the first calculation step would look like:

648 ÷ 2 = 324

Now we repeat this action until the result equals 1:

324 ÷ 2 = 162

162 ÷ 2 = 81

81 ÷ 3 = 27

27 ÷ 3 = 9

9 ÷ 3 = 3

3 ÷ 3 = 1

Now we have all the Prime Factors for number 648. It is: 2, 2, 2, 3, 3, 3, 3

Or you may also write it in exponential form: 23 × 34

Prime Factor Tree of 648

We may also express the prime factorization of 648 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 648? (The answer is: 2, 2, 2, 3, 3, 3, 3). Pick the number for factorization (e.g. '648'). 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
6333, 211
6342, 317
6355, 127
63622 × 3 × 53
63772 × 13
6382, 11, 29
63932 × 71
64027 × 5
641641
6422, 3, 107
643643
64422 × 7 × 23
6453, 5, 43
6462, 17, 19
647647
64823 × 34
64911, 59
6502 × 52 × 13
6513, 7, 31
65222 × 163
653653
6542, 3, 109
6555, 131
65624 × 41
65732 × 73
6582, 7, 47
659659
66022 × 3 × 5 × 11
661661
6622, 331

FAQ

What is the Prime Factorization of 648?

Prime Factors of 648: 2, 2, 2, 3, 3, 3, 3

How many prime factors does 648 have?

Number 648 has 7 Prime Factors

What is the Prime Factorization of 648 in exponential form?

The Prime Factorization of the number 648 in the exponential form is: 23 × 34

See Also