Factors of 5,760
Answer
Factors: 1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 16, 18, 20, 24, 30, 32, 36, 40, 45, 48, 60, 64, 72, 80, 90, 96, 120, 128, 144, 160, 180, 192, 240, 288, 320, 360, 384, 480, 576, 640, 720, 960, 1152, 1440, 1920, 2880, 5760
Number of factors: 48
Factor pairs: (1, 5760), (2, 2880), (3, 1920), (4, 1440), (5, 1152), (6, 960), (8, 720), (9, 640), (10, 576), (12, 480), (15, 384), (16, 360), (18, 320), (20, 288), (24, 240), (30, 192), (32, 180), (36, 160), (40, 144), (45, 128), (48, 120), (60, 96), (64, 90), (72, 80)
Prime Factorization
5760 = 27 × 32 × 5
Properties
- This number is not prime
- This number is not a perfect square
- This is an even number
- Sum of all factors: 19,890
Check Numbers from 1 to 5,760
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Understanding the Factors of 5,760
When we look at the number 5,760, we find that it has 48 factors in total. These are the numbers that divide evenly into 5,760 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: 27 × 32 × 5.
Factor Pairs
The factors of 5,760 can be arranged in pairs: (1, 5760), (2, 2880), (3, 1920), (4, 1440), (5, 1152), (6, 960), (8, 720), (9, 640), (10, 576), (12, 480), (15, 384), (16, 360), (18, 320), (20, 288), (24, 240), (30, 192), (32, 180), (36, 160), (40, 144), (45, 128), (48, 120), (60, 96), (64, 90), (72, 80). Each pair multiplies to give 5,760.