Divisors of 76: All 6 Factors
Quick Answer
76 has 6 divisors (factors): 1, 2, 4, 19, 38, 76.
Sum: 140.
Divisors (Factors) Calculator
Use the calculator above to find all divisors (also called factors) of any positive integer up to 4,782,969. Beyond the divisor list, this tool also shows divisor pairs, the sum and count of divisors, prime factorization, and number properties (prime, perfect square, perfect number).
All Divisors of 76
The number 76 has 6 divisors:
1, 2, 4, 19, 38, 76
Divisor Pairs of 76
Each pair multiplies to 76:
| Factor 1 | × | Factor 2 | = | Product |
|---|---|---|---|---|
| 1 | × | 76 | = | 76 |
| 2 | × | 38 | = | 76 |
| 4 | × | 19 | = | 76 |
Number of Divisors
The number 76 has 6 divisors, written as τ(76) = 6 in number theory.
Sum of Divisors
σ(76) = 1 + 2 + 4 + 19 + 38 + 76 = 140
Prime Factorization of 76
Properties of 76
- 76 is composite.
- 76 is not a perfect square.
- Number of divisors: 6.
- Sum of divisors: 140.
Common Divisors with Another Number?
Looking for the divisors that 76 shares with another number? Use our Greatest Common Factor (GCF) calculator — it finds all common divisors and the largest one.
Step-by-Step: How to Find the Divisors of 76
An efficient way to find divisors uses the complementary pair trick: check each integer i from 1 to √76 ≈ 8.72. If i divides 76, then both i and 76/i are divisors.
- 1 divides 76 (76 ÷ 1 = 76) → pair (1, 76)
- 2 divides 76 (76 ÷ 2 = 38) → pair (2, 38)
- 4 divides 76 (76 ÷ 4 = 19) → pair (4, 19)
- Collect all unique values: {1, 2, 4, 19, 38, 76} — total 6 divisors.
- Sum: 1 + 2 + 4 + 19 + 38 + 76 = 140.
Nearby Examples
Related Operations for 76
- Multiples of 76 — "outward" complement; M is a multiple of 76 ⇔ 76 is a divisor of M
- 76 Prime Factorization — decompose into prime building blocks
- Find GCF of 76 and another number
- Find LCM of 76 and another number
- Is 76 a perfect square? (odd divisor count ⇔ yes)
See also our tables of divisors:
What Is a Divisor?
A divisor (also called a factor) of a positive integer n is any positive integer d such that n ÷ d has no remainder. In other words, d divides n evenly.
Every positive integer n has at least two divisors: 1 and n itself (with 1 being the trivial case of having only itself). Numbers with exactly 2 divisors are prime; numbers with 3 or more divisors are composite.
Why use this calculator? Beyond just listing divisors, this tool computes the sum σ(n), the count τ(n), prime factorization, divisor pairs (useful for visual learners and factoring problems), and detects whether n is a prime, a perfect square, or a perfect number.
Divisors Calculation Examples
Find all divisors of these numbers:
Related Calculators
- Multiples of a Number — "outward" complement
- Prime Factorization — product of prime divisors
- Greatest Common Factor (GCF) — largest common divisor of 2+ numbers
- Least Common Multiple (LCM) — smallest common multiple
- Is N a Perfect Square? — odd divisor count check