Factors of 462
Answer
Factors: 1, 2, 3, 6, 7, 11, 14, 21, 22, 33, 42, 66, 77, 154, 231, 462
Number of factors: 16
Factor pairs: (1, 462), (2, 231), (3, 154), (6, 77), (7, 66), (11, 42), (14, 33), (21, 22)
Prime Factorization
462 = 2 × 3 × 7 × 11
Properties
- This number is not prime
- This number is not a perfect square
- This is an even number
- Sum of all factors: 1,152
Check Numbers from 1 to 462
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Understanding the Factors of 462
When we look at the number 462, we find that it has 16 factors in total. These are the numbers that divide evenly into 462 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 × 3 × 7 × 11.
Factor Pairs
The factors of 462 can be arranged in pairs: (1, 462), (2, 231), (3, 154), (6, 77), (7, 66), (11, 42), (14, 33), (21, 22). Each pair multiplies to give 462.