Prime Factorization of 704

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Prime Factors of

What is the Prime Factorization of 704?

Answer: Prime Factors of 704: 2, 2, 2, 2, 2, 2, 11

or

26 × 11

Explanation of number 704 Prime Factorization

Prime Factorization of 704 it is expressing 704 as the product of prime factors. In other words it is finding which prime numbers should be multiplied together to make 704.

Since number 704 is a Composite number (not Prime) we can do its Prime Factorization.

To get a list of all Prime Factors of 704, we have to iteratively divide 704 by the smallest prime number possible until the result equals 1.

Here is the complete solution of finding Prime Factors of 704:

The smallest Prime Number which can divide 704 without a remainder is 2. So the first calculation step would look like:

704 ÷ 2 = 352

Now we repeat this action until the result equals 1:

352 ÷ 2 = 176

176 ÷ 2 = 88

88 ÷ 2 = 44

44 ÷ 2 = 22

22 ÷ 2 = 11

11 ÷ 11 = 1

Now we have all the Prime Factors for number 704. It is: 2, 2, 2, 2, 2, 2, 11

Or you may also write it in exponential form: 26 × 11

Prime Factor Tree of 704

We may also express the prime factorization of 704 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 704? (The answer is: 2, 2, 2, 2, 2, 2, 11). Pick the number for factorization (e.g. '704'). 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
68913, 53
6902, 3, 5, 23
691691
69222 × 173
69332 × 7 × 11
6942, 347
6955, 139
69623 × 3 × 29
69717, 41
6982, 349
6993, 233
70022 × 52 × 7
701701
7022 × 33 × 13
70319, 37
70426 × 11
7053, 5, 47
7062, 353
7077, 101
70822 × 3 × 59
709709
7102, 5, 71
71132 × 79
71223 × 89
71323, 31
7142, 3, 7, 17
7155, 11, 13
71622 × 179
7173, 239
7182, 359

FAQ

What is the Prime Factorization of 704?

Prime Factors of 704: 2, 2, 2, 2, 2, 2, 11

How many prime factors does 704 have?

Number 704 has 7 Prime Factors

What is the Prime Factorization of 704 in exponential form?

The Prime Factorization of the number 704 in the exponential form is: 26 × 11

See Also