Factors of 1,764
Answer
Factors: 1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 28, 36, 42, 49, 63, 84, 98, 126, 147, 196, 252, 294, 441, 588, 882, 1764
Number of factors: 27
Factor pairs: (1, 1764), (2, 882), (3, 588), (4, 441), (6, 294), (7, 252), (9, 196), (12, 147), (14, 126), (18, 98), (21, 84), (28, 63), (36, 49), (42, 42)
Prime Factorization
1764 = 22 × 32 × 72
Properties
- This number is not prime
- This number is a perfect square
- This is an even number
- Sum of all factors: 5,187
Check Numbers from 1 to 1,764
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Understanding the Factors of 1,764
When we look at the number 1,764, we find that it has 27 factors in total. These are the numbers that divide evenly into 1,764 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 × 72.
Factor Pairs
The factors of 1,764 can be arranged in pairs: (1, 1764), (2, 882), (3, 588), (4, 441), (6, 294), (7, 252), (9, 196), (12, 147), (14, 126), (18, 98), (21, 84), (28, 63), (36, 49), (42, 42). Each pair multiplies to give 1,764.