Factors of 2,205
Answer
Factors: 1, 3, 5, 7, 9, 15, 21, 35, 45, 49, 63, 105, 147, 245, 315, 441, 735, 2205
Number of factors: 18
Factor pairs: (1, 2205), (3, 735), (5, 441), (7, 315), (9, 245), (15, 147), (21, 105), (35, 63), (45, 49)
Prime Factorization
2205 = 32 × 5 × 72
Properties
- This number is not prime
- This number is not a perfect square
- This is an odd number
- Sum of all factors: 4,446
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Understanding the Factors of 2,205
When we look at the number 2,205, we find that it has 18 factors in total. These are the numbers that divide evenly into 2,205 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: 32 × 5 × 72.
Factor Pairs
The factors of 2,205 can be arranged in pairs: (1, 2205), (3, 735), (5, 441), (7, 315), (9, 245), (15, 147), (21, 105), (35, 63), (45, 49). Each pair multiplies to give 2,205.