Factors of 10,010
Answer
Factors: 1, 2, 5, 7, 10, 11, 13, 14, 22, 26, 35, 55, 65, 70, 77, 91, 110, 130, 143, 154, 182, 286, 385, 455, 715, 770, 910, 1001, 1430, 2002, 5005, 10010
Number of factors: 32
Factor pairs: (1, 10010), (2, 5005), (5, 2002), (7, 1430), (10, 1001), (11, 910), (13, 770), (14, 715), (22, 455), (26, 385), (35, 286), (55, 182), (65, 154), (70, 143), (77, 130), (91, 110)
Prime Factorization
10010 = 2 × 5 × 7 × 11 × 13
Properties
- This number is not prime
- This number is not a perfect square
- This is an even number
- Sum of all factors: 24,192
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Understanding the Factors of 10,010
When we look at the number 10,010, we find that it has 32 factors in total. These are the numbers that divide evenly into 10,010 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 × 5 × 7 × 11 × 13.
Factor Pairs
The factors of 10,010 can be arranged in pairs: (1, 10010), (2, 5005), (5, 2002), (7, 1430), (10, 1001), (11, 910), (13, 770), (14, 715), (22, 455), (26, 385), (35, 286), (55, 182), (65, 154), (70, 143), (77, 130), (91, 110). Each pair multiplies to give 10,010.