Factors of 9,585
Answer
Factors: 1, 3, 5, 9, 15, 27, 45, 71, 135, 213, 355, 639, 1065, 1917, 3195, 9585
Number of factors: 16
Factor pairs: (1, 9585), (3, 3195), (5, 1917), (9, 1065), (15, 639), (27, 355), (45, 213), (71, 135)
Prime Factorization
9585 = 33 × 5 × 71
Properties
- This number is not prime
- This number is not a perfect square
- This is an odd number
- Sum of all factors: 17,280
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Understanding the Factors of 9,585
When we look at the number 9,585, we find that it has 16 factors in total. These are the numbers that divide evenly into 9,585 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: 33 × 5 × 71.
Factor Pairs
The factors of 9,585 can be arranged in pairs: (1, 9585), (3, 3195), (5, 1917), (9, 1065), (15, 639), (27, 355), (45, 213), (71, 135). Each pair multiplies to give 9,585.