Factors of 5,700
Answer
Factors: 1, 2, 3, 4, 5, 6, 10, 12, 15, 19, 20, 25, 30, 38, 50, 57, 60, 75, 76, 95, 100, 114, 150, 190, 228, 285, 300, 380, 475, 570, 950, 1140, 1425, 1900, 2850, 5700
Number of factors: 36
Factor pairs: (1, 5700), (2, 2850), (3, 1900), (4, 1425), (5, 1140), (6, 950), (10, 570), (12, 475), (15, 380), (19, 300), (20, 285), (25, 228), (30, 190), (38, 150), (50, 114), (57, 100), (60, 95), (75, 76)
Prime Factorization
5700 = 22 × 3 × 52 × 19
Properties
- This number is not prime
- This number is not a perfect square
- This is an even number
- Sum of all factors: 17,360
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Understanding the Factors of 5,700
When we look at the number 5,700, we find that it has 36 factors in total. These are the numbers that divide evenly into 5,700 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: 22 × 3 × 52 × 19.
Factor Pairs
The factors of 5,700 can be arranged in pairs: (1, 5700), (2, 2850), (3, 1900), (4, 1425), (5, 1140), (6, 950), (10, 570), (12, 475), (15, 380), (19, 300), (20, 285), (25, 228), (30, 190), (38, 150), (50, 114), (57, 100), (60, 95), (75, 76). Each pair multiplies to give 5,700.