Prime Factorization of 748
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What is the Prime Factorization of 748?
or
Explanation of number 748 Prime Factorization
Prime Factorization of 748 it is expressing 748 as the product of prime factors. In other words it is finding which prime numbers should be multiplied together to make 748.
Since number 748 is a Composite number (not Prime) we can do its Prime Factorization.
To get a list of all Prime Factors of 748, we have to iteratively divide 748 by the smallest prime number possible until the result equals 1.
Here is the complete solution of finding Prime Factors of 748:
The smallest Prime Number which can divide 748 without a remainder is 2. So the first calculation step would look like:
748 ÷ 2 = 374
Now we repeat this action until the result equals 1:
374 ÷ 2 = 187
187 ÷ 11 = 17
17 ÷ 17 = 1
Now we have all the Prime Factors for number 748. It is: 2, 2, 11, 17
Or you may also write it in exponential form: 22 × 11 × 17
Prime Factor Tree of 748
We may also express the prime factorization of 748 as a Factor Tree:
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See Also
- Factors of a Number - List all Factors and Factor Pairs of a Number
- Is number a Prime - Find out whether a given number is Prime or not
- Prime Numbers List - List of all Prime Numbers - how many Prime numbers are between
About "Prime Factorization" Calculator
Prime factors are the positive integers having only two factors - 1 and the number itself
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Prime Factorization Table
Number | Prime Factors |
---|---|
733 | 733 |
734 | 2, 367 |
735 | 3 × 5 × 72 |
736 | 25 × 23 |
737 | 11, 67 |
738 | 2 × 32 × 41 |
739 | 739 |
740 | 22 × 5 × 37 |
741 | 3, 13, 19 |
742 | 2, 7, 53 |
743 | 743 |
744 | 23 × 3 × 31 |
745 | 5, 149 |
746 | 2, 373 |
747 | 32 × 83 |
748 | 22 × 11 × 17 |
749 | 7, 107 |
750 | 2 × 3 × 53 |
751 | 751 |
752 | 24 × 47 |
753 | 3, 251 |
754 | 2, 13, 29 |
755 | 5, 151 |
756 | 22 × 33 × 7 |
757 | 757 |
758 | 2, 379 |
759 | 3, 11, 23 |
760 | 23 × 5 × 19 |
761 | 761 |
762 | 2, 3, 127 |
FAQ
What is the Prime Factorization of 748?
How many prime factors does 748 have?
What is the Prime Factorization of 748 in exponential form?
See Also
- Prime factors of 734
- Prime factors of 735
- Prime factors of 736
- Prime factors of 738
- Prime factors of 739
- Prime factors of 740
- Prime factors of 741
- Prime factors of 744
- Prime factors of 745
- Prime factors of 746
- Prime factors of 749
- Prime factors of 750
- Prime factors of 756
- Prime factors of 757
- Prime factors of 759
- Prime factors of 760
- Prime factors of 761
- Prime factors of 764
- Prime factors of 765
- Prime factors of 767
- Простые множители числа 748