Prime Factorization of 744

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Prime Factors of

What is the Prime Factorization of 744?

Answer: Prime Factors of 744: 2, 2, 2, 3, 31

or

23 × 3 × 31

Explanation of number 744 Prime Factorization

Prime Factorization of 744 it is expressing 744 as the product of prime factors. In other words it is finding which prime numbers should be multiplied together to make 744.

Since number 744 is a Composite number (not Prime) we can do its Prime Factorization.

To get a list of all Prime Factors of 744, we have to iteratively divide 744 by the smallest prime number possible until the result equals 1.

Here is the complete solution of finding Prime Factors of 744:

The smallest Prime Number which can divide 744 without a remainder is 2. So the first calculation step would look like:

744 ÷ 2 = 372

Now we repeat this action until the result equals 1:

372 ÷ 2 = 186

186 ÷ 2 = 93

93 ÷ 3 = 31

31 ÷ 31 = 1

Now we have all the Prime Factors for number 744. It is: 2, 2, 2, 3, 31

Or you may also write it in exponential form: 23 × 3 × 31

Prime Factor Tree of 744

We may also express the prime factorization of 744 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 744? (The answer is: 2, 2, 2, 3, 31). Pick the number for factorization (e.g. '744'). 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
72936
7302, 5, 73
73117, 43
73222 × 3 × 61
733733
7342, 367
7353 × 5 × 72
73625 × 23
73711, 67
7382 × 32 × 41
739739
74022 × 5 × 37
7413, 13, 19
7422, 7, 53
743743
74423 × 3 × 31
7455, 149
7462, 373
74732 × 83
74822 × 11 × 17
7497, 107
7502 × 3 × 53
751751
75224 × 47
7533, 251
7542, 13, 29
7555, 151
75622 × 33 × 7
757757
7582, 379

FAQ

What is the Prime Factorization of 744?

Prime Factors of 744: 2, 2, 2, 3, 31

How many prime factors does 744 have?

Number 744 has 5 Prime Factors

What is the Prime Factorization of 744 in exponential form?

The Prime Factorization of the number 744 in the exponential form is: 23 × 3 × 31

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