Factors of 10,000
Answer
Factors: 1, 2, 4, 5, 8, 10, 16, 20, 25, 40, 50, 80, 100, 125, 200, 250, 400, 500, 625, 1000, 1250, 2000, 2500, 5000, 10000
Number of factors: 25
Factor pairs: (1, 10000), (2, 5000), (4, 2500), (5, 2000), (8, 1250), (10, 1000), (16, 625), (20, 500), (25, 400), (40, 250), (50, 200), (80, 125), (100, 100)
Prime Factorization
10000 = 24 × 54
Properties
- This number is not prime
- This number is a perfect square
- This is an even number
- Sum of all factors: 24,211
Check Numbers from 1 to 10,000
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Understanding the Factors of 10,000
When we look at the number 10,000, we find that it has 25 factors in total. These are the numbers that divide evenly into 10,000 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: 24 × 54.
Factor Pairs
The factors of 10,000 can be arranged in pairs: (1, 10000), (2, 5000), (4, 2500), (5, 2000), (8, 1250), (10, 1000), (16, 625), (20, 500), (25, 400), (40, 250), (50, 200), (80, 125), (100, 100). Each pair multiplies to give 10,000.