Prime Factorization of 742

What is the Prime Factorization of 742?

Answer: Prime Factors of 742: 2, 7, 53

Explanation of number 742 Prime Factorization

Prime Factorization of 742 it is expressing 742 as the product of prime factors. In other words it is finding which prime numbers should be multiplied together to make 742.

Since number 742 is a Composite number (not Prime) we can do its Prime Factorization.

To get a list of all Prime Factors of 742, we have to iteratively divide 742 by the smallest prime number possible until the result equals 1.

Here is the complete solution of finding Prime Factors of 742:

The smallest Prime Number which can divide 742 without a remainder is 2. So the first calculation step would look like:

742 ÷ 2 = 371

Now we repeat this action until the result equals 1:

371 ÷ 7 = 53

53 ÷ 53 = 1

Now we have all the Prime Factors for number 742. It is: 2, 7, 53

Related Calculations

Prime Factorization Table

NumberPrime Factors
727
23 × 7 × 13
36
2, 5, 73
73117, 43
73222 × 3 × 61
733733
7342, 367
3 × 5 × 72
25 × 23
73711, 67
2 × 32 × 41
739
74022 × 5 × 37
3, 13, 19
7422, 7, 53
743
74423 × 3 × 31
5, 149
7462, 373
74732 × 83
22 × 11 × 17
7, 107
2 × 3 × 53
751
24 × 47
7533, 251
2, 13, 29
7555, 151
22 × 33 × 7

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 742? (The answer is: 2, 7, 53). Pick the number for factorization (e.g. '742'). 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 742?

Prime Factors of 742: 2, 7, 53

How many prime factors does 742 have?

Number 742 has 3 Prime Factors