Factors of 6,825
Answer
Factors: 1, 3, 5, 7, 13, 15, 21, 25, 35, 39, 65, 75, 91, 105, 175, 195, 273, 325, 455, 525, 975, 1365, 2275, 6825
Number of factors: 24
Factor pairs: (1, 6825), (3, 2275), (5, 1365), (7, 975), (13, 525), (15, 455), (21, 325), (25, 273), (35, 195), (39, 175), (65, 105), (75, 91)
Prime Factorization
6825 = 3 × 52 × 7 × 13
Properties
- This number is not prime
- This number is not a perfect square
- This is an odd number
- Sum of all factors: 13,888
Check Numbers from 1 to 6,825
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Understanding the Factors of 6,825
When we look at the number 6,825, we find that it has 24 factors in total. These are the numbers that divide evenly into 6,825 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 × 7 × 13.
Factor Pairs
The factors of 6,825 can be arranged in pairs: (1, 6825), (3, 2275), (5, 1365), (7, 975), (13, 525), (15, 455), (21, 325), (25, 273), (35, 195), (39, 175), (65, 105), (75, 91). Each pair multiplies to give 6,825.