Factors of 126
Answer
Factors: 1, 2, 3, 6, 7, 9, 14, 18, 21, 42, 63, 126
Number of factors: 12
Factor pairs: (1, 126), (2, 63), (3, 42), (6, 21), (7, 18), (9, 14)
Prime Factorization
126 = 2 × 32 × 7
Properties
- This number is not prime
- This number is not a perfect square
- This is an even number
- Sum of all factors: 312
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Understanding the Factors of 126
When we look at the number 126, we find that it has 12 factors in total. These are the numbers that divide evenly into 126 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: 2 × 32 × 7.
Factor Pairs
The factors of 126 can be arranged in pairs: (1, 126), (2, 63), (3, 42), (6, 21), (7, 18), (9, 14). Each pair multiplies to give 126.