Factors of 630
Answer
Factors: 1, 2, 3, 5, 6, 7, 9, 10, 14, 15, 18, 21, 30, 35, 42, 45, 63, 70, 90, 105, 126, 210, 315, 630
Number of factors: 24
Factor pairs: (1, 630), (2, 315), (3, 210), (5, 126), (6, 105), (7, 90), (9, 70), (10, 63), (14, 45), (15, 42), (18, 35), (21, 30)
Prime Factorization
630 = 2 × 32 × 5 × 7
Properties
- This number is not prime
- This number is not a perfect square
- This is an even number
- Sum of all factors: 1,872
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Understanding the Factors of 630
When we look at the number 630, we find that it has 24 factors in total. These are the numbers that divide evenly into 630 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 × 5 × 7.
Factor Pairs
The factors of 630 can be arranged in pairs: (1, 630), (2, 315), (3, 210), (5, 126), (6, 105), (7, 90), (9, 70), (10, 63), (14, 45), (15, 42), (18, 35), (21, 30). Each pair multiplies to give 630.