Factors of 1,008
Answer
Factors: 1, 2, 3, 4, 6, 7, 8, 9, 12, 14, 16, 18, 21, 24, 28, 36, 42, 48, 56, 63, 72, 84, 112, 126, 144, 168, 252, 336, 504, 1008
Number of factors: 30
Factor pairs: (1, 1008), (2, 504), (3, 336), (4, 252), (6, 168), (7, 144), (8, 126), (9, 112), (12, 84), (14, 72), (16, 63), (18, 56), (21, 48), (24, 42), (28, 36)
Prime Factorization
1008 = 24 × 32 × 7
Properties
- This number is not prime
- This number is not a perfect square
- This is an even number
- Sum of all factors: 3,224
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Understanding the Factors of 1,008
When we look at the number 1,008, we find that it has 30 factors in total. These are the numbers that divide evenly into 1,008 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 × 7.
Factor Pairs
The factors of 1,008 can be arranged in pairs: (1, 1008), (2, 504), (3, 336), (4, 252), (6, 168), (7, 144), (8, 126), (9, 112), (12, 84), (14, 72), (16, 63), (18, 56), (21, 48), (24, 42), (28, 36). Each pair multiplies to give 1,008.