Factors of 2,800
Answer
Factors: 1, 2, 4, 5, 7, 8, 10, 14, 16, 20, 25, 28, 35, 40, 50, 56, 70, 80, 100, 112, 140, 175, 200, 280, 350, 400, 560, 700, 1400, 2800
Number of factors: 30
Factor pairs: (1, 2800), (2, 1400), (4, 700), (5, 560), (7, 400), (8, 350), (10, 280), (14, 200), (16, 175), (20, 140), (25, 112), (28, 100), (35, 80), (40, 70), (50, 56)
Prime Factorization
2800 = 24 × 52 × 7
Properties
- This number is not prime
- This number is not a perfect square
- This is an even number
- Sum of all factors: 7,688
Check Numbers from 1 to 2,800
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Understanding the Factors of 2,800
When we look at the number 2,800, we find that it has 30 factors in total. These are the numbers that divide evenly into 2,800 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: 24 × 52 × 7.
Factor Pairs
The factors of 2,800 can be arranged in pairs: (1, 2800), (2, 1400), (4, 700), (5, 560), (7, 400), (8, 350), (10, 280), (14, 200), (16, 175), (20, 140), (25, 112), (28, 100), (35, 80), (40, 70), (50, 56). Each pair multiplies to give 2,800.