Factors of 48
- Input
- 48
- Expected output
- 1, 2, 3, 4, 6, 8, 12, 16, 24, 48
Ten factors, sum 124.
Carregando ferramenta… / Loading tool…
what are the factors of 48
The factors of 48 are 1, 2, 3, 4, 6, 8, 12, 16, 24 and 48, ten numbers in all. The safest way to list them without missing any is to build a table from the factorization 48 = 2⁴ × 3, and the calculator shows that step by step in its Step by step tab.
Ten factors, sum 124.
Five factors, 16 = 2⁴.
Six factors, 32 = 2⁵.
Seven factors, 64 = 2⁶, a square and a cube.
Twelve factors, 96 = 2⁵ × 3.
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, 3, 4, 6, 8, 12, 16, 24 and 48. As pairs: 1 × 48, 2 × 24, 3 × 16, 4 × 12 and 6 × 8.
Factor into primes (2⁴ × 3) and multiply each power of 2 by 1 and by 3. The two-row table covers every combination, and the total must match (4 + 1) × (1 + 1) = 10.
No. 48 = 6 × 7 + 6, leaving 6. Since 7 is not in the factorization 2⁴ × 3, no multiple of it divides 48.
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