Factors of 1,584
Answer
Factors: 1, 2, 3, 4, 6, 8, 9, 11, 12, 16, 18, 22, 24, 33, 36, 44, 48, 66, 72, 88, 99, 132, 144, 176, 198, 264, 396, 528, 792, 1584
Number of factors: 30
Factor pairs: (1, 1584), (2, 792), (3, 528), (4, 396), (6, 264), (8, 198), (9, 176), (11, 144), (12, 132), (16, 99), (18, 88), (22, 72), (24, 66), (33, 48), (36, 44)
Prime Factorization
1584 = 24 × 32 × 11
Properties
- This number is not prime
- This number is not a perfect square
- This is an even number
- Sum of all factors: 4,836
Check Numbers from 1 to 1,584
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Understanding the Factors of 1,584
When we look at the number 1,584, we find that it has 30 factors in total. These are the numbers that divide evenly into 1,584 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: 24 × 32 × 11.
Factor Pairs
The factors of 1,584 can be arranged in pairs: (1, 1584), (2, 792), (3, 528), (4, 396), (6, 264), (8, 198), (9, 176), (11, 144), (12, 132), (16, 99), (18, 88), (22, 72), (24, 66), (33, 48), (36, 44). Each pair multiplies to give 1,584.