Factors of 5,460
Answer
Factors: 1, 2, 3, 4, 5, 6, 7, 10, 12, 13, 14, 15, 20, 21, 26, 28, 30, 35, 39, 42, 52, 60, 65, 70, 78, 84, 91, 105, 130, 140, 156, 182, 195, 210, 260, 273, 364, 390, 420, 455, 546, 780, 910, 1092, 1365, 1820, 2730, 5460
Number of factors: 48
Factor pairs: (1, 5460), (2, 2730), (3, 1820), (4, 1365), (5, 1092), (6, 910), (7, 780), (10, 546), (12, 455), (13, 420), (14, 390), (15, 364), (20, 273), (21, 260), (26, 210), (28, 195), (30, 182), (35, 156), (39, 140), (42, 130), (52, 105), (60, 91), (65, 84), (70, 78)
Prime Factorization
5460 = 22 × 3 × 5 × 7 × 13
Properties
- This number is not prime
- This number is not a perfect square
- This is an even number
- Sum of all factors: 18,816
Check Numbers from 1 to 5,460
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Understanding the Factors of 5,460
When we look at the number 5,460, we find that it has 48 factors in total. These are the numbers that divide evenly into 5,460 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 × 3 × 5 × 7 × 13.
Factor Pairs
The factors of 5,460 can be arranged in pairs: (1, 5460), (2, 2730), (3, 1820), (4, 1365), (5, 1092), (6, 910), (7, 780), (10, 546), (12, 455), (13, 420), (14, 390), (15, 364), (20, 273), (21, 260), (26, 210), (28, 195), (30, 182), (35, 156), (39, 140), (42, 130), (52, 105), (60, 91), (65, 84), (70, 78). Each pair multiplies to give 5,460.