Prime Factorization of 784

What is the Prime Factorization of 784?

Answer: Prime Factors of 784: 2, 2, 2, 2, 7, 7

or

24 × 72

Explanation of number 784 Prime Factorization

Prime Factorization of 784 it is expressing 784 as the product of prime factors. In other words it is finding which prime numbers should be multiplied together to make 784.

Since number 784 is a Composite number (not Prime) we can do its Prime Factorization.

To get a list of all Prime Factors of 784, we have to iteratively divide 784 by the smallest prime number possible until the result equals 1.

Here is the complete solution of finding Prime Factors of 784:

The smallest Prime Number which can divide 784 without a remainder is 2. So the first calculation step would look like:

784 ÷ 2 = 392

Now we repeat this action until the result equals 1:

392 ÷ 2 = 196

196 ÷ 2 = 98

98 ÷ 2 = 49

49 ÷ 7 = 7

7 ÷ 7 = 1

Now we have all the Prime Factors for number 784. It is: 2, 2, 2, 2, 7, 7

Or you may also write it in exponential form: 24 × 72

Prime Factor Tree of 784

We may also express the prime factorization of 784 as a Factor Tree:

Prime factors of 784 factorization tree of 784

Related Calculations

Prime Factorization Table

NumberPrime Factors
769
2, 5, 7, 11
7713, 257
22 × 193
773773
2 × 32 × 43
77552 × 31
23 × 97
3, 7, 37
2, 389
19, 41
22 × 3 × 5 × 13
78111, 71
2, 17, 23
33 × 29
24 × 72
5, 157
2, 3, 131
787787
78822 × 197
7893, 263
7902, 5, 79
7917, 113
23 × 32 × 11
13, 61
2, 397
3, 5, 53
79622 × 199
797797
7982, 3, 7, 19

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 784? (The answer is: 2, 2, 2, 2, 7, 7). Pick the number for factorization (e.g. '784'). After that hit the 'Calculate' button.
Prime factors are the positive integers having only two factors - 1 and the number itself

FAQ

What is the Prime Factorization of 784?

Prime Factors of 784: 2, 2, 2, 2, 7, 7

How many prime factors does 784 have?

Number 784 has 6 Prime Factors

What is the Prime Factorization of 784 in exponential form?

The Prime Factorization of the number 784 in the exponential form is: 24 × 72