Prime Factorization of 738

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Prime Factors of

What is the Prime Factorization of 738?

Answer: Prime Factors of 738: 2, 3, 3, 41

or

2 × 32 × 41

Explanation of number 738 Prime Factorization

Prime Factorization of 738 it is expressing 738 as the product of prime factors. In other words it is finding which prime numbers should be multiplied together to make 738.

Since number 738 is a Composite number (not Prime) we can do its Prime Factorization.

To get a list of all Prime Factors of 738, we have to iteratively divide 738 by the smallest prime number possible until the result equals 1.

Here is the complete solution of finding Prime Factors of 738:

The smallest Prime Number which can divide 738 without a remainder is 2. So the first calculation step would look like:

738 ÷ 2 = 369

Now we repeat this action until the result equals 1:

369 ÷ 3 = 123

123 ÷ 3 = 41

41 ÷ 41 = 1

Now we have all the Prime Factors for number 738. It is: 2, 3, 3, 41

Or you may also write it in exponential form: 2 × 32 × 41

Prime Factor Tree of 738

We may also express the prime factorization of 738 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 738? (The answer is: 2, 3, 3, 41). Pick the number for factorization (e.g. '738'). 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
7233, 241
72422 × 181
72552 × 29
7262 × 3 × 112
727727
72823 × 7 × 13
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

FAQ

What is the Prime Factorization of 738?

Prime Factors of 738: 2, 3, 3, 41

How many prime factors does 738 have?

Number 738 has 4 Prime Factors

What is the Prime Factorization of 738 in exponential form?

The Prime Factorization of the number 738 in the exponential form is: 2 × 32 × 41

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