Factors of 7,725
Answer
Factors: 1, 3, 5, 15, 25, 75, 103, 309, 515, 1545, 2575, 7725
Number of factors: 12
Factor pairs: (1, 7725), (3, 2575), (5, 1545), (15, 515), (25, 309), (75, 103)
Prime Factorization
7725 = 3 × 52 × 103
Properties
- This number is not prime
- This number is not a perfect square
- This is an odd number
- Sum of all factors: 12,896
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Understanding the Factors of 7,725
When we look at the number 7,725, we find that it has 12 factors in total. These are the numbers that divide evenly into 7,725 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: 3 × 52 × 103.
Factor Pairs
The factors of 7,725 can be arranged in pairs: (1, 7725), (3, 2575), (5, 1545), (15, 515), (25, 309), (75, 103). Each pair multiplies to give 7,725.