Factors of 100
- Input
- 100
- Expected output
- 1, 2, 4, 5, 10, 20, 25, 50, 100
Nine factors, sum 217.
Carregando ferramenta… / Loading tool…
factors of 100
The factors of 100 are 1, 2, 4, 5, 10, 20, 25, 50 and 100. That is nine numbers, the same count as 36, and they add up to 217. The calculator opens with 100 filled in and shows the 2² × 5² factorization.
Nine factors, sum 217.
Four factors, (1 + 1) × (1 + 1).
Six factors, 50 = 2 × 5².
Twelve factors, 200 = 2³ × 5².
Sixteen factors, 1000 = 2³ × 5³.
There are two ways. The direct one is to test the whole numbers from 1 up to the square root of the number: each time the division is exact you gain two divisors, the tested one and the quotient. For 36, testing 1, 2, 3, 4, 5 and 6 gives the pairs (1, 36), (2, 18), (3, 12), (4, 9) and (6, 6). Factoring is faster for large numbers: break the number into primes and combine the powers, which is what the Step by step tab shows.
They are 1, 2, 4, 5, 10, 20, 25, 50 and 100: nine factors, with a sum of 217.
Sixteen. Since 1000 = 2³ × 5³, the count is (3 + 1) × (3 + 1) = 16, and the list runs from 1 to 1000 through 125, 200, 250 and 500.
No. The 1, 5 and 25 are odd. The even ones are 2, 4, 10, 20, 50 and 100, six of the nine.
Only 2 and 5. The factorization 2 × 2 × 5 × 5 uses just those two primes, each one twice.
36 has 9 divisors
The proper divisors add up to 55, which is 19 more than 36: an abundant number.
Divisors that are prime are highlighted.
Accepts whole numbers of up to 18 digits. Everything runs in your browser with exact arithmetic.
Related: GCD and LCM · Prime numbers · Simplify fractions