Factors of 4,096
Answer
Factors: 1, 2, 4, 8, 16, 32, 64, 128, 256, 512, 1024, 2048, 4096
Number of factors: 13
Factor pairs: (1, 4096), (2, 2048), (4, 1024), (8, 512), (16, 256), (32, 128), (64, 64)
Prime Factorization
4096 = 212
Properties
- This number is not prime
- This number is a perfect square
- This is an even number
- Sum of all factors: 8,191
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Understanding the Factors of 4,096
When we look at the number 4,096, we find that it has 13 factors in total. These are the numbers that divide evenly into 4,096 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: 212.
Factor Pairs
The factors of 4,096 can be arranged in pairs: (1, 4096), (2, 2048), (4, 1024), (8, 512), (16, 256), (32, 128), (64, 64). Each pair multiplies to give 4,096.