Factors of 756
Answer
Factors: 1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 27, 28, 36, 42, 54, 63, 84, 108, 126, 189, 252, 378, 756
Number of factors: 24
Factor pairs: (1, 756), (2, 378), (3, 252), (4, 189), (6, 126), (7, 108), (9, 84), (12, 63), (14, 54), (18, 42), (21, 36), (27, 28)
Prime Factorization
756 = 22 × 33 × 7
Properties
- This number is not prime
- This number is not a perfect square
- This is an even number
- Sum of all factors: 2,240
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Understanding the Factors of 756
When we look at the number 756, we find that it has 24 factors in total. These are the numbers that divide evenly into 756 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 × 33 × 7.
Factor Pairs
The factors of 756 can be arranged in pairs: (1, 756), (2, 378), (3, 252), (4, 189), (6, 126), (7, 108), (9, 84), (12, 63), (14, 54), (18, 42), (21, 36), (27, 28). Each pair multiplies to give 756.