Factors of 728
Answer
Factors: 1, 2, 4, 7, 8, 13, 14, 26, 28, 52, 56, 91, 104, 182, 364, 728
Number of factors: 16
Factor pairs: (1, 728), (2, 364), (4, 182), (7, 104), (8, 91), (13, 56), (14, 52), (26, 28)
Prime Factorization
728 = 23 × 7 × 13
Properties
- This number is not prime
- This number is not a perfect square
- This is an even number
- Sum of all factors: 1,680
Check Numbers from 1 to 728
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Understanding the Factors of 728
When we look at the number 728, we find that it has 16 factors in total. These are the numbers that divide evenly into 728 with no remainder.
This number is composite, meaning it has more than two factors. It can be written as the product of its prime factors: 23 × 7 × 13.
Factor Pairs
The factors of 728 can be arranged in pairs: (1, 728), (2, 364), (4, 182), (7, 104), (8, 91), (13, 56), (14, 52), (26, 28). Each pair multiplies to give 728.