Factors of 1,116
Answer
Factors: 1, 2, 3, 4, 6, 9, 12, 18, 31, 36, 62, 93, 124, 186, 279, 372, 558, 1116
Number of factors: 18
Factor pairs: (1, 1116), (2, 558), (3, 372), (4, 279), (6, 186), (9, 124), (12, 93), (18, 62), (31, 36)
Prime Factorization
1116 = 22 × 32 × 31
Properties
- This number is not prime
- This number is not a perfect square
- This is an even number
- Sum of all factors: 2,912
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Understanding the Factors of 1,116
When we look at the number 1,116, we find that it has 18 factors in total. These are the numbers that divide evenly into 1,116 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: 22 × 32 × 31.
Factor Pairs
The factors of 1,116 can be arranged in pairs: (1, 1116), (2, 558), (3, 372), (4, 279), (6, 186), (9, 124), (12, 93), (18, 62), (31, 36). Each pair multiplies to give 1,116.