Factors of 6,816
Answer
Factors: 1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 71, 96, 142, 213, 284, 426, 568, 852, 1136, 1704, 2272, 3408, 6816
Number of factors: 24
Factor pairs: (1, 6816), (2, 3408), (3, 2272), (4, 1704), (6, 1136), (8, 852), (12, 568), (16, 426), (24, 284), (32, 213), (48, 142), (71, 96)
Prime Factorization
6816 = 25 × 3 × 71
Properties
- This number is not prime
- This number is not a perfect square
- This is an even number
- Sum of all factors: 18,144
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Understanding the Factors of 6,816
When we look at the number 6,816, we find that it has 24 factors in total. These are the numbers that divide evenly into 6,816 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: 25 × 3 × 71.
Factor Pairs
The factors of 6,816 can be arranged in pairs: (1, 6816), (2, 3408), (3, 2272), (4, 1704), (6, 1136), (8, 852), (12, 568), (16, 426), (24, 284), (32, 213), (48, 142), (71, 96). Each pair multiplies to give 6,816.